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KASHIWARA

  • Masaki Kashiwara
  • Japanese mathematician (born 1947)

    Masaki Kashiwara (Japanese: 柏原 正樹, Hepburn: Kashiwara Masaki; born January 30, 1947) is a Japanese mathematician and professor at the Kyoto University

    Masaki Kashiwara

    Masaki Kashiwara

    Masaki_Kashiwara

  • Kashiwara
  • City in Kansai, Japan

    Kashiwara (柏原市, Kashiwara-shi) is a city located in Osaka Prefecture, Japan. As of 31 January 2022[update], the city had an estimated population of 67

    Kashiwara

    Kashiwara

    Kashiwara

  • Cauchy–Kovalevskaya theorem
  • Existence and uniqueness theorem for certain partial differential equations

    equations with analytic coefficients, the Cauchy–Kovalevskaya–Kashiwara theorem, due to Masaki Kashiwara (1983). This theorem involves a cohomological formulation

    Cauchy–Kovalevskaya theorem

    Cauchy–Kovalevskaya_theorem

  • D-module
  • Module over a sheaf of differential operators

    polynomial. Early major results were the Kashiwara constructibility theorem and Kashiwara index theorem of Masaki Kashiwara. The methods of D-module theory have

    D-module

    D-module

  • Kashiwara-minamiguchi Station
  • Railway station in Kashiwara, Osaka Prefecture, Japan

    Kashiwara-minamiguchi Station (柏原南口駅, Kashiwara-minamiguchi-eki) is a train station in Kashiwara, Osaka Prefecture, Japan. Kintetsu Railway Domyoji Line

    Kashiwara-minamiguchi Station

    Kashiwara-minamiguchi Station

    Kashiwara-minamiguchi_Station

  • Kashiwara Station
  • Railway station in Kashiwara, Osaka Prefecture, Japan

    Kashiwara Station (柏原駅, Kashiwara-eki) is a railway station in Kashiwara, Osaka Prefecture, Japan. The station is owned by the West Japan Railway Company

    Kashiwara Station

    Kashiwara Station

    Kashiwara_Station

  • Algebraic analysis
  • Technique of studying linear partial differential equations

    Masaki Kashiwara Lars Hörmander Microdifferential operator Kashiwara & Kawai 2011, pp. 11–17. Kashiwara & Schapira 1990, Definition 11.5.1. Kashiwara, Masaki;

    Algebraic analysis

    Algebraic_analysis

  • Gunbuster
  • Japanese original video animation series

    space monsters. Senior student Reiko Kashiwara challenges Noriko to a Machine Weapon duel, but Noriko defeats Kashiwara. Noriko, Kazumi, and Ohta fly off

    Gunbuster

    Gunbuster

  • Anton Alekseev (mathematician)
  • Russian mathematician

    Eckhard Meinrenken, published in Inventiones Mathematicae a proof of the Kashiwara-Vergne conjecture. In 2008 he gave a new proof with fr:Charles Torossian

    Anton Alekseev (mathematician)

    Anton_Alekseev_(mathematician)

  • Romance, Irane
  • 2008 single by AKB48

    Kashiwara 5:01 3. "Romance, Irane (Original Mix, Instrumental)" Akimoto, Rie CHOKKAKU 4:40 4. "Ai no Mōfu (Instrumental)" Akimoto, Naruse Kashiwara 5:01

    Romance, Irane

    Romance,_Irane

  • Takaida Station (Osaka)
  • Railway station in Kashiwara, Osaka Prefecture, Japan

    Takaida Station (高井田駅, Takaida-eki) is a railway station in Kashiwara, Osaka Prefecture, Japan. West Japan Railway Company Yamatoji Line Takaida Station

    Takaida Station (Osaka)

    Takaida Station (Osaka)

    Takaida_Station_(Osaka)

  • Japanese aircraft carrier Jun'yō
  • Hiyō-class aircraft carrier

    Imperial Japanese Navy (IJN). She was laid down as the passenger liner Kashiwara Maru (橿原丸), but was purchased by the IJN in 1941 while still under construction

    Japanese aircraft carrier Jun'yō

    Japanese aircraft carrier Jun'yō

    Japanese_aircraft_carrier_Jun'yō

  • Fukuoka
  • Prefecture capital and Designated city in Kyushu, Japan

    to late Jomon pottery and stone-collecting hearths have been found at Kashiwara Site (South Ward). Among middle Jomon period sites, clusters of pits for

    Fukuoka

    Fukuoka

    Fukuoka

  • Osaka Prefecture
  • Prefecture of Japan

    Osaka University of Foreign Studies (Minoh) Osaka Kyoiku University (Kashiwara) Osaka City University (Osaka city) Osaka Prefecture University (Sakai)

    Osaka Prefecture

    Osaka Prefecture

    Osaka_Prefecture

  • Let's Make a Mug Too
  • Japanese manga series

    to fire (pottery), mug cup too") is a Japanese manga series by Osamu Kashiwara about Mino ware pottery, set in the Tajimi city of Gifu Prefecture. It

    Let's Make a Mug Too

    Let's_Make_a_Mug_Too

  • Jean-Luc Brylinski
  • French-American mathematician

    University in 1988. He proved the Kazhdan–Lusztig conjectures with Masaki Kashiwara. He has also worked on gerbes, cyclic homology, Quillen bundles, and geometric

    Jean-Luc Brylinski

    Jean-Luc_Brylinski

  • Tenshō Iga War
  • Invasions of Iga province by forces under Oda Nobunaga

    northern Iga forces, and the siege of Kashiwara Castle in the south. With the surrender of the forces in Kashiwara Castle on October 8, organized Iga resistance

    Tenshō Iga War

    Tenshō Iga War

    Tenshō_Iga_War

  • Pierre Schapira (mathematician)
  • French mathematician

    earned Shapira an invitation to Kyoto University, where he met Masaki Kashiwara. Together, they developed the microlocal theory of sheaves, and have co-authored

    Pierre Schapira (mathematician)

    Pierre Schapira (mathematician)

    Pierre_Schapira_(mathematician)

  • Microdifferential operator
  • Boutet de Monvel and P. Krée as well as by M. Sato, T. Kawai and M. Kashiwara. There is also an approach due to J. Sjöstrand. We first define the sheaf

    Microdifferential operator

    Microdifferential_operator

  • Domyoji Line
  • Railway line in Osaka, Japan

    Railway, connecting Dōmyōji Station in the city of Fujiidera and Kashiwara Station in Kashiwara, both in Osaka Prefecture. The line is the oldest in the Kintetsu

    Domyoji Line

    Domyoji Line

    Domyoji_Line

  • Ōsaka-Kyōikudai-mae Station
  • Railway station in Kashiwara, Osaka Prefecture, Japan

    Ōsakakyōikudaimae-eki) is a railway station on the Kintetsu Railway Osaka Line in Kashiwara, Osaka Prefecture, Japan, serving Osaka Kyoiku University. The station

    Ōsaka-Kyōikudai-mae Station

    Ōsaka-Kyōikudai-mae Station

    Ōsaka-Kyōikudai-mae_Station

  • Maslov index
  • k → A 1 {\displaystyle A_{1}\to A_{2}\dots \to A_{k}\to A_{1}} , the Kashiwara form is the quadratic form on A 1 ⊕ A 2 ⊕ ⋯ ⊕ A k {\displaystyle A_{1}\oplus

    Maslov index

    Maslov_index

  • List of cities in Japan
  • 1956-09-01 [573] Minoh 箕面市 Osaka 127,757 47.84 2,671 1956-12-01 [574] Kashiwara 柏原市 Osaka 75,875 25.39 2,988 1958-10-01 [575] Habikino 羽曳野市 Osaka 118

    List of cities in Japan

    List of cities in Japan

    List_of_cities_in_Japan

  • Presheaf (category theory)
  • Contravariant functor to Set

    Presheaf with transfers co-Yoneda lemma at the nLab Kashiwara & Schapira 2005, Corollary 2.4.3. Kashiwara & Schapira 2005, Proposition 2.7.1. Lurie, Definition

    Presheaf (category theory)

    Presheaf_(category_theory)

  • Kirakira (video game)
  • 2007 video game

    doing fine. Kirari's singing voice is provided by UR@N. Sarina Kashiwara (樫原 紗理奈, Kashiwara Sarina) Voiced by: Megumi Kojima Sarina was born into a bourgeoisie

    Kirakira (video game)

    Kirakira_(video_game)

  • Xinxiang
  • Prefecture-level city in Henan, People's Republic of China

    Engineering College Xinxiang Hygiene School Itajaí, Santa Catarina, Brazil Kashiwara, Osaka, Japan History of the political divisions of China List of Catholic

    Xinxiang

    Xinxiang

    Xinxiang

  • Uniqueness theorem
  • Index of articles associated with the same name

    equations associated with Cauchy initial value problems. Cauchy–Kowalevski–Kashiwara theorem is a wide generalization of the Cauchy–Kowalevski theorem for

    Uniqueness theorem

    Uniqueness_theorem

  • Riemann–Hilbert correspondence
  • Concept in mathematics

    surfaces) and more generally for regular holonomic D-modules by Masaki Kashiwara (1980, 1984) and Zoghman Mebkhout (1980, 1984) independently. In the setting

    Riemann–Hilbert correspondence

    Riemann–Hilbert_correspondence

  • Research Institute for Mathematical Sciences
  • Research institute affiliated with Kyoto University

    (1998.4.1 – 2001.3.31) Masaki Kashiwara (2001.4.1 – 2003.3.31) Yōichirō Takahashi (2003.4.1 – 2007.3.31) Masaki Kashiwara (2007.4.1 – 2009.3.31) Shigeru

    Research Institute for Mathematical Sciences

    Research Institute for Mathematical Sciences

    Research_Institute_for_Mathematical_Sciences

  • Bernstein–Sato polynomial
  • Polynomial related to differential operators

    gives an elementary introduction, while Armand Borel (1987) and Masaki Kashiwara (2003) give more advanced accounts. If f ( x ) {\displaystyle f(x)} is

    Bernstein–Sato polynomial

    Bernstein–Sato_polynomial

  • Osaka Prefectural Board of Education
  • Branch of the government of Osaka Prefecture, Japan

    High School [25] Shibutani High School [26] Kadoma West High School [27] Kashiwara East High School [28] Katano High School [29] Nagano High School [30]

    Osaka Prefectural Board of Education

    Osaka_Prefectural_Board_of_Education

  • Hall algebra
  • algebra. The Hall algebra plays an important role in the theory of Masaki Kashiwara and George Lusztig regarding canonical bases in quantum groups. Ringel

    Hall algebra

    Hall_algebra

  • Crystal base
  • Representation of a quantum group

    -lattice in that vector space. Crystal bases appeared in the work of Kashiwara (1990) and also in the work of Lusztig (1990). They can be viewed as specializations

    Crystal base

    Crystal_base

  • Mikio Sato
  • Japanese mathematician (1928–2023)

    was director of RIMS from 1987 to 1991. His disciples include Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, as well as Michio Jimbo, who have been

    Mikio Sato

    Mikio_Sato

  • Mitsuo Fuchida
  • Japanese Naval officer

    authors.[quantify] Fuchida died of complications caused by diabetes in Kashiwara, near Osaka on 30 May 1976 at the age of 73. Fuchida was the author of

    Mitsuo Fuchida

    Mitsuo Fuchida

    Mitsuo_Fuchida

  • Yamatoji Line
  • Railway line in Japan

    on 15 March 2008 until 11 March 2022, 3 Rapid services starting from Kashiwara (where Rapid trains normally skip) to Namba were operated. Direct Rapid

    Yamatoji Line

    Yamatoji Line

    Yamatoji_Line

  • Kyūhōji Station
  • Railway station in Yao, Osaka Prefecture, Japan

    Rapid Service   Tennōji Ōji   Rapid Service   Tennōji Kashiwara   Rapid Service starting Kashiwara for JR Namba   Tennōji Ōji   Yamatoji Rapid Service  

    Kyūhōji Station

    Kyūhōji Station

    Kyūhōji_Station

  • Pure spinor
  • Class of spinors constructed using Clifford algebras

    arXiv:0911.0993. doi:10.4007/annals.2011.174.1.3. Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji (1982). "Transformation groups for soliton equations

    Pure spinor

    Pure_spinor

  • Chern Medal
  • International Congress of Mathematicians award

    work in Hodge theory and periods of algebraic varieties." 2018 Masaki Kashiwara "For his outstanding and foundational contributions to algebraic analysis

    Chern Medal

    Chern_Medal

  • Satoshi Shingaki
  • Japanese boxer

    8 Win 6–1–1 Elmer Magallano TKO 8 (15) Apr 15, 1984 20 years, 74 days Kashiwara Gymnasium, Nara, Nara, Japan Won inaugural IBF bantamweight title 7 Win

    Satoshi Shingaki

    Satoshi_Shingaki

  • Canonical basis
  • Basis of a type of algebraic structure

    by Kashiwara; it is sometimes called the crystal basis. The definition of the canonical basis was extended to the Kac-Moody setting by Kashiwara (by

    Canonical basis

    Canonical_basis

  • Kashiba, Nara
  • City in Kansai, Japan

    Prefecture Yamatotakada Katsuragi Ōji Kanmaki Kōryō Osaka Prefecture Habikino Kashiwara Taishi Kashiba has a humid subtropical climate (Köppen Cfa) characterized

    Kashiba, Nara

    Kashiba, Nara

    Kashiba,_Nara

  • Ōji, Nara
  • Town in Kansai, Japan

    Prefecture Kashiba Kawai Kanmaki Sangō Ikoma Ikaruga Osaka Prefecture Kashiwara Ōji has a humid subtropical climate (Köppen Cfa) characterized by warm

    Ōji, Nara

    Ōji, Nara

    Ōji,_Nara

  • Abel Prize
  • Norwegian international mathematics prize

    outstanding applications in mathematical physics and statistics." 2025 Masaki Kashiwara Research Institute for Mathematical Sciences "For his fundamental contributions

    Abel Prize

    Abel_Prize

  • Hiyō-class aircraft carrier
  • Aircraft carrier class of the Imperial Japanese Navy

    as the fast luxury Kashiwara Maru-class [jp] passenger liners (橿原丸級貨客船, Kashiwara Maru-kyū kakyakusen) as respectively Kashiwara Maru and Izumo Maru

    Hiyō-class aircraft carrier

    Hiyō-class aircraft carrier

    Hiyō-class_aircraft_carrier

  • Fourier–Bros–Iagolnitzer transform
  • Mathematical transform

    developed independently by the Japanese mathematicians Mikio Sato, Masaki Kashiwara and Takahiro Kawai in their approach to microlocal analysis. It can also

    Fourier–Bros–Iagolnitzer transform

    Fourier–Bros–Iagolnitzer_transform

  • List of Japanese supercentenarians
  • List of Japanese citizens who lived 110 years or beyond

    Japan on 25 April 1907. Tatsumi moved into the Hakuto nursing home in Kashiwara, Osaka Prefecture, Japan in 2013. When she came to the nursing home she

    List of Japanese supercentenarians

    List_of_Japanese_supercentenarians

  • Boris Kadomtsev
  • Russian physicist (1928–1998)

    Motohico (1988), "KP Equations, Strings, and the Schottky Problem", in Kashiwara, Masaki; Kawai, Takahiro (eds.), Algebraic Analysis, Academic Press, pp

    Boris Kadomtsev

    Boris Kadomtsev

    Boris_Kadomtsev

  • Sakura no Hanabiratachi
  • Single by AKB48

    Distribution Songwriters Yasushi Akimoto, Hiroshi Uesugi Producers Nobuhiko Kashiwara, Yasushi Kubota, Kotaro Shiba AKB48 singles chronology "Sakura no Hanabiratachi"

    Sakura no Hanabiratachi

    Sakura_no_Hanabiratachi

  • Tomoyuki Tanaka
  • Japanese film producer (1910–1997)

    notably Yojimbo and Kagemusha. Tanaka was born on April 26, 1910, in Kashiwara, Osaka. As a child, he would often walk miles to the nearest theater to

    Tomoyuki Tanaka

    Tomoyuki Tanaka

    Tomoyuki_Tanaka

  • Category theory
  • General theory of mathematical structures

    Theory (3rd ed.). Heldermann Verlag Berlin. ISBN 978-3-88538-001-6.. Kashiwara, Masaki; Schapira, Pierre (2006). Categories and Sheaves. Grundlehren

    Category theory

    Category theory

    Category_theory

  • Yoshiaki Nagasawa
  • Japanese bicycle frame builder (born 1947)

    in January 1976 and established his plant, Nagasawa Racing Cycle, in Kashiwara, Osaka Prefecture. Koichi Nakano debuted in the track world championships

    Yoshiaki Nagasawa

    Yoshiaki_Nagasawa

  • Sheaf (mathematics)
  • Tool to track locally defined data attached to the open sets of a topological space

    1007/BF02685881. S2CID 189777706. Iversen (1986, Chapter VII, Theorem 1.4) Kashiwara & Schapira (1994, Chapter III, §3.1) de Cataldo & Migliorini (2010) Grothendieck

    Sheaf (mathematics)

    Sheaf_(mathematics)

  • Kawachi-Kokubu Station
  • Railway station in Kashiwara, Osaka Prefecture, Japan

    Kawachi-Kokubu-eki) is a railway station on the Kintetsu Osaka Line in Kashiwara, Osaka Prefecture, Japan. Kawachi-Kokubu Station has two island platforms

    Kawachi-Kokubu Station

    Kawachi-Kokubu Station

    Kawachi-Kokubu_Station

  • Takaida Station
  • Topics referred to by the same term

    Osaka Prefecture, Japan: Takaida Station (Higashiōsaka) Takaida Station (Kashiwara) This disambiguation page lists articles about railway and public transport

    Takaida Station

    Takaida_Station

  • Limit and colimit of presheaves
  • a Grothendieck universe. Kashiwara & Schapira 2006, Corollary 2.4.3. Kashiwara & Schapira 2006, Proposition 2.6.4. Kashiwara, Masaki; Schapira, Pierre

    Limit and colimit of presheaves

    Limit_and_colimit_of_presheaves

  • Takaida Cave Tombs
  • Cluster of Corridor-type Kofun Tomb in Osaka, Japan

    caves in a tuff cliff of located in the Takaida neighborhood of city of Kashiwara, Osaka, in the Kansai region of Japan. It was designated as a National

    Takaida Cave Tombs

    Takaida Cave Tombs

    Takaida_Cave_Tombs

  • Zoghman Mebkhout
  • French-Algerian mathematician (born 1949)

    correspond. An independent proof of this result was presented by Masaki Kashiwara in April 1980. Zoghman is now largely known as a specialist in D-modules

    Zoghman Mebkhout

    Zoghman Mebkhout

    Zoghman_Mebkhout

  • Letters from Iwo Jima
  • 2006 American film by Clint Eastwood

    as Private First Class Nozaki Takashi Yamaguchi as Private First Class Kashiwara Eijiro Ozaki as Lieutenant Okubo Alan Sato as Sergeant Ondo Nae Yuuki [ja]

    Letters from Iwo Jima

    Letters_from_Iwo_Jima

  • Protist classification
  • Classification of eukaryotes

    Entactinosphaera, Gracilentactinia, Holdisphaera, Involutentactinia, Kashiwara, Magnentactinia, Magnisphaera, Microporosa, Moskovistella, Multientactinia

    Protist classification

    Protist classification

    Protist_classification

  • Direct image with compact support
  • locally compact Hausdorff is imposed in most sources (e.g., Iversen or Kashiwara–Schapira). In slightly greater generality, Olaf Schnürer and Wolfgang

    Direct image with compact support

    Direct_image_with_compact_support

  • Shinichi Mochizuki
  • Japanese mathematician

    of the theory. On April 3, 2020, two Japanese mathematicians, Masaki Kashiwara and Akio Tamagawa, announced that Mochizuki's claimed proof of the abc

    Shinichi Mochizuki

    Shinichi_Mochizuki

  • List of municipal flags of Kansai region
  • Higashiōsaka Hirakata Ibaraki Ikeda Izumi Izumiotsu Izumisano Kadoma Kaizuka Kashiwara Katano Kawachinagano Kishiwada Matsubara Minoh Moriguchi Neyagawa Osaka

    List of municipal flags of Kansai region

    List of municipal flags of Kansai region

    List_of_municipal_flags_of_Kansai_region

  • Pierre Deligne
  • Belgian mathematician

    Deligne's paper, Zoghman Mebkhout's 1980 thesis and the work of Masaki Kashiwara through D-modules theory (but published in the 80s) on the problem have

    Pierre Deligne

    Pierre Deligne

    Pierre_Deligne

  • Masahiro Doi
  • Japanese baseball player and coach (born 1943)

    He last served as the batting coach for the Chunichi Dragons. Born in Kashiwara, Osaka, Doi attended Daitetsu High School, dropping out before graduation

    Masahiro Doi

    Masahiro Doi

    Masahiro_Doi

  • Nishi-Meihan Expressway
  • National expressway in Osaka and Nara Prefectures, Japan

    and Osaka areas. Osaka Prefecture Matsubara - Fujiidera - Habikino - Kashiwara Nara Prefecture Kashiba - Kanmaki - Kawai - Ando - Yamatokōriyama - Ando

    Nishi-Meihan Expressway

    Nishi-Meihan Expressway

    Nishi-Meihan_Expressway

  • Littelmann path model
  • a bridge between the theory of crystal bases arising from the work of Kashiwara and Lusztig on quantum groups and the standard monomial theory of C. S

    Littelmann path model

    Littelmann_path_model

  • University of Tokyo
  • Public research university in Japan

    Satoshi Ōmura). Additionally, Kunihiko Kodaira won a Fields Medal, Masaki Kashiwara won an Abel Prize, both often called the 'Nobel Prize for mathematics'

    University of Tokyo

    University of Tokyo

    University_of_Tokyo

  • Takahiro Kawai
  • Japanese mathematician

    emeritus at RIMS. He was a student of Mikio Sato at the same time as Masaki Kashiwara with whom he later shared the Asahi Prize in 1987. "Homepage of Takahiro

    Takahiro Kawai

    Takahiro Kawai

    Takahiro_Kawai

  • Yamato River
  • River in Kansai, Japan

    river flows via towns: Nara Prefecture Yamatokōriyama Osaka Prefecture Kashiwara Fujiidera - confluence with Ishikawa River Since 1704, the river was reconfigured

    Yamato River

    Yamato River

    Yamato_River

  • List of twin towns and sister cities in Japan
  • Australia Chengde, China Guam, United States Torrance, United States Kashiwara Grosseto, Italy Xinxiang, China Kasugai Kelowna, Canada Kasukabe Fraser

    List of twin towns and sister cities in Japan

    List of twin towns and sister cities in Japan

    List_of_twin_towns_and_sister_cities_in_Japan

  • Alexander Beilinson
  • Russian-American mathematician

    Joseph Bernstein. Independent of Beilinson and Bernstein, Brylinski and Kashiwara obtained a proof of the Kazhdan–Lusztig conjectures. However, the proof

    Alexander Beilinson

    Alexander Beilinson

    Alexander_Beilinson

  • Matsuokayama Kofun
  • Burial mound located in Osaka, Japan

    burial mound, located in the Kokubu-ichiba neighborhood of the city of Kashiwara, Osaka, in the Kansai region of Japan. The tumulus was designated a National

    Matsuokayama Kofun

    Matsuokayama Kofun

    Matsuokayama_Kofun

  • List of cities in Osaka Prefecture by population
  • 72,404 26 Izumiōtsu City 74,431 75,897 77,548 77,673 75,091 68,842 27 Kashiwara City 68,789 71,112 74,773 77,034 79,227 80,303 28 Fujiidera City 63,714

    List of cities in Osaka Prefecture by population

    List_of_cities_in_Osaka_Prefecture_by_population

  • Combinatorics and physics
  • International Conference on Combinatorial physics Physical Combinatorics, Masaki Kashiwara, Tetsuji Miwa, Springer, 2000, ISBN 0-8176-4175-0 David Ruelle (1999)

    Combinatorics and physics

    Combinatorics_and_physics

  • My Respect
  • 2026 studio album by Nogizaka46

    10. "Navel Orange" (ネーブルオレンジ) Nakamura Nobuhiko Kashiwara 5:32 11. "Same Numbers" Kawaura Kashiwara 5:05 12. "Biryani" (ビリヤニ) Lee Lab Satoshi Hanamura

    My Respect

    My_Respect

  • Kazhdan–Lusztig polynomial
  • Integral polynomial

    Beilinson and Joseph Bernstein (1981) and by Jean-Luc Brylinski and Masaki Kashiwara (1981). The methods introduced in the course of the proof have guided

    Kazhdan–Lusztig polynomial

    Kazhdan–Lusztig_polynomial

  • Category of small categories
  • Category whose objects are small categories and whose morphisms are functors

    Nerve of a category Universal set, the notion of a 'set of all sets' Kashiwara, Masaki; Schapira, Pierre (2006). Categories and sheaves. empty category

    Category of small categories

    Category_of_small_categories

  • Order of the Sacred Treasure
  • Honor bestowed by the government of Japan

    (1904–2008) awarded 1981 Yuet Keung Kan (1913–2012), awarded 1983 Masaki Kashiwara (born 1947), awarded 2020. Shahin Lauritzen, awarded 1999 [citation needed]

    Order of the Sacred Treasure

    Order of the Sacred Treasure

    Order_of_the_Sacred_Treasure

  • Compact object (mathematics)
  • Mathematical concept

    the terminology finitely presented object instead of compact object. Kashiwara & Schapira (2006) call these the objects of finite presentation. The same

    Compact object (mathematics)

    Compact_object_(mathematics)

  • Derived category
  • Homological construction

    useful in the study of singular spaces; see, for example, the book by Kashiwara and Schapira (Categories and Sheaves) on various applications of unbounded

    Derived category

    Derived_category

  • Kansai Main Line
  • Railway line in Japan

    duplicated in 1903 and extended to Kashiwara in 1908. The Nara to Kizu section was duplicated in 1914, and the Kashiwara to Nara section between 1923 and

    Kansai Main Line

    Kansai Main Line

    Kansai_Main_Line

  • Composition series
  • Decomposition of an algebraic structure

    lemma, used to prove the Schreier Refinement Theorem Isaacs 1994, p.146. Kashiwara & Schapira 2006, exercise 8.20 Birkhoff, Garrett (1934), "Transfinite

    Composition series

    Composition_series

  • List of ships of the Imperial Japanese Navy
  • May 1940 Scrapped, 1947 Kashii Oct 1939 Jul 1941 Air attack, Jan 1945 Kashiwara cancelled cancelled Agano class 6,652 t 6x 6 in (150 mm) 8x 610 mm (24 in)

    List of ships of the Imperial Japanese Navy

    List of ships of the Imperial Japanese Navy

    List_of_ships_of_the_Imperial_Japanese_Navy

  • Polonium
  • Chemical element with atomic number 84 (Po)

    3683.537. PMID 14325152. S2CID 22567612. Ota, Tomoko; Sanada, Tetsuya; Kashiwara, Yoko; Morimoto, Takao; et al. (2009). "Evaluation for Committed Effective

    Polonium

    Polonium

    Polonium

  • Kyoto Prize in Basic Sciences
  • Award

    2016-10-15. "Edward Witten". Inamori Foundation. Retrieved 2016-10-15. "Masaki Kashiwara". Inamori Foundation. Retrieved 2018-06-15. "Elliott H. Lieb". Inamori

    Kyoto Prize in Basic Sciences

    Kyoto Prize in Basic Sciences

    Kyoto_Prize_in_Basic_Sciences

  • Verdier duality
  • Duality for sheaves of k-modules over a locally compact space

    Springer-Verlag, doi:10.1007/978-3-642-82783-9, ISBN 978-3-540-16389-3, MR 0842190 Kashiwara, Masaki; Schapira, Pierre (2002), Sheaves on Manifolds, Berlin: Springer

    Verdier duality

    Verdier_duality

  • Tosaka-dera
  • Asuka period Buddhist temple ruins

    period Buddhist temple located in the Takaida neighborhood of the city of Kashiwara, Osaka, Japan. The temple no longer exists, but the temple grounds were

    Tosaka-dera

    Tosaka-dera

    Tosaka-dera

  • Takashi Kashiwabara
  • Japanese former actor (born 1977)

    original on 2006-03-03. Retrieved 2016-07-31. "お色直し3回…柏原&畑野さん挙式!新婦は感動の涙" [Kashiwara and Hatano's wedding ceremony - changing their attire three times! The

    Takashi Kashiwabara

    Takashi_Kashiwabara

  • Wild Arms
  • Japanese media franchise

    jazz-inspired remix album featuring arrangements by Nittoku Inoue, Nobuhiko Kashiwara, Nao Tokisawa, Atsushi Tomita, Transquillo, and Ryo Yonemitsu. Bryan Cebulski

    Wild Arms

    Wild_Arms

  • Kazuo Kusumoto
  • Japanese basketball coach

    Osaka Prefecture Career information High school Higashiosaka College Kashiwara (Kashiwara, Osaka) College Osaka University of Health and Sport Sciences Coaching

    Kazuo Kusumoto

    Kazuo_Kusumoto

  • Fujiidera
  • City in Kansai, Japan

    river banks are maintained for recreation. Osaka Prefecture Habikino Kashiwara Matsubara Yao Fujiidera has a Humid subtropical climate (Köppen Cfa) characterized

    Fujiidera

    Fujiidera

    Fujiidera

  • Your Flower: Uta no Hanataba o
  • 2025 studio album by Hiroko Moriguchi

    Akimoto Toshiaki Matsumoto Nobuhiko Kashiwara 4:13 5. "Speed" (Supīdo (スピード)) Nishiwaki Kaori Okui Okui Kashiwara 3:58 6. "Whistle" (Hoissuru (ホイッスル))

    Your Flower: Uta no Hanataba o

    Your_Flower:_Uta_no_Hanataba_o

  • Hyperfunction
  • Type of generalized function

    Applications (Japanese Series, Vol. 3), Springer, ISBN 978-90-277-2837-1 Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo (2017) [1986], Foundations of

    Hyperfunction

    Hyperfunction

  • Japanese aircraft carrier Hiyō
  • Hiyō-class aircraft carrier

    carrier in the event of war. The designs of Izumo Maru and her sister ship Kashiwara Maru were based on the German ocean liner SS Bremen, although they were

    Japanese aircraft carrier Hiyō

    Japanese aircraft carrier Hiyō

    Japanese_aircraft_carrier_Hiyō

  • Demazure module
  • sufficiently large dominant highest weight modules using Lie algebra techniques. Kashiwara (1993) proved a refined version of the Demazure character formula that

    Demazure module

    Demazure_module

  • International Mathematical Union
  • International non-governmental organisation

    Shigefumi Mori) 2003–2006: John M. Ball (vice: Jean-Michel Bismut, Masaki Kashiwara) 2007–2010: László Lovász (vice: Zhi-Ming Ma, Claudio Procesi) 2011–2014:

    International Mathematical Union

    International_Mathematical_Union

  • Ferdinand Marcos
  • President of the Philippines from 1965 to 1986

    Archived from the original on December 11, 2021. Retrieved June 30, 2010. Kashiwara, Ken (October 16, 1983). "Aquino's Final Journey". The New York Times

    Ferdinand Marcos

    Ferdinand Marcos

    Ferdinand_Marcos

  • ZN model
  • \infty } . It is also a special case of the chiral Potts model and the Kashiwara–Miwa model. As is the case for most lattice models in statistical mechanics

    ZN model

    ZN_model

  • Quantum group
  • Algebraic construct of interest in theoretical physics

    group, and to define quasi-invariants for knots, links and braids. Masaki Kashiwara has researched the limiting behaviour of quantum groups as q → 0, and

    Quantum group

    Quantum group

    Quantum_group

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