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Term in mathematics
mathematical study of Lie algebras and Lie groups, Satake diagrams are a generalization of Dynkin diagrams that classify involutions of root systems that
Satake_diagram
Pictorial representation of symmetry
semisimple Lie algebras, and these are classified by Satake diagrams, which are obtained from the Dynkin diagram by labeling some vertices black (filled), and
Dynkin_diagram
Topics referred to by the same term
Hiroshima, Japan Asteroid 8194 Satake Ichirō Satake (1927–2014), Japanese mathematician Satake isomorphism Satake diagram Misako Satake (佐竹 美佐子; born 1951), Japanese
Satake
by Dynkin diagrams, the real forms of a semisimple Lie algebra are classified by Satake diagrams, which are obtained from the Dynkin diagram of the complex
Real_form_(Lie_theory)
that indicates the maximal compact subgroup. Although they resemble Satake diagrams they are a different way of classifying simple Lie algebras. Knapp
Vogan_diagram
Japanese mathematician
isomorphism and Satake diagrams. He was considered an iconic figure in the theory of linear algebraic groups and symmetric spaces. Satake was born in Tokyo
Ichirō_Satake
Concept in Lie algebra mathematics
and some additional information. This can be done by Satake diagrams that generalize Dynkin diagrams. See also Table of Lie groups#Real Lie algebras for
Simple_Lie_algebra
(pseudo-)Riemannian manifold whose geodesics are reversible
symmetric spaces. Orthogonal symmetric Lie algebra Relative root system Satake diagram Cartan involution Jurgen Jost, (2002) "Riemannian Geometry and Geometric
Symmetric_space
either of these conditions: The real rank equals the complex rank. The Satake diagram has neither black vertices nor arrows. Every complex semisimple Lie
Split_Lie_algebra
Subgroup of the group of invertible n×n matrices
group of adjoint type, parabolic induction Real form (Lie theory), Satake diagram Adelic algebraic group, Weil's conjecture on Tamagawa numbers Langlands
Linear_algebraic_group
Concept in mathematics
to classifying the simple Lie groups. These are classified by their Satake diagram; or one can just refer to the list of simple Lie groups (up to finite
Reductive_group
Visual tool in quantum chemistry
A molecular orbital diagram, or MO diagram, is a qualitative descriptive tool explaining chemical bonding in molecules in terms of molecular orbital theory
Molecular_orbital_diagram
Mathematical theory
s o . {\displaystyle {\mathfrak {so}}.} The Satake diagram of a compact Lie algebra is the Dynkin diagram of the complex Lie algebra with all vertices
Compact_Lie_algebra
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
classified by additional decorations of its Dynkin diagram called Satake diagrams, after Ichirô Satake. Classification of centerless simple Lie groups For
Simple_Lie_group
Root system associated to a symmetric space
Weyl group are related to the Iwasawa decomposition of the Lie group. Satake diagram Bump, Daniel (2004), Lie groups, Graduate Texts in Mathematics, vol
Restricted_root_system
Direct sum of simple Lie algebras
forms of the complex Lie algebra; this can be done by Satake diagrams, which are Dynkin diagrams with additional data ("decorations"). Let g {\displaystyle
Semisimple_Lie_algebra
Tectonic boundary in North America
from other geophysicists. A 1996 study published by seismologist Kenji Satake supplemented the research by Atwater et al. with tsunami evidence across
Cascadia_subduction_zone
1600 battle in Japan
The heated situation forced Mitsunari to even flee and hid himself at the Satake Yoshinobu's residence, and then at Fushimi Castle, Before Tokugawa Ieyasu
Battle_of_Sekigahara
type exists over any field. (Tits 1966) (Tits 1966) (Thắng 2022) (Satake 1971) (Satake 2001) (Selbach 1976) (Springer 1998) (Sury 2012) (Jacobson 1939)
List of irreducible Tits indices
List_of_irreducible_Tits_indices
Press. p. 149. ISBN 9780521467285. Retrieved 30 June 2012. Himiyama, Yukio; Satake, Kenji; Oki, Taikan, eds. (2020). Human Geoscience. Singapore: Springer
Internal_structure_of_Earth
Generalized manifold
space. Definitions of orbifold have been given several times: by Ichirō Satake in the context of automorphic forms in the 1950s under the name V-manifold;
Orbifold
Prediction in nuclear physics
Bibcode:2005RvMP...77..427C. doi:10.1103/RevModPhys.77.427. S2CID 119447053. Satake, M. (2010). Introduction to nuclear chemistry. Discovery Publishing House
Island_of_stability
Series of water waves
doi:10.1007/s10346-022-01922-7. Atwater, Brian F.; Musumi-Rokkaku, Satoko; Satake, Kenji; Tsuji, Yoshinobu; Ueda, Kazue; Yamaguchi, David K. (2005), The orphan
Tsunami
Monoidal category
conjecture; in other words, in bounding monodromy groups. The Geometric Satake equivalence establishes an equivalence between representations of the Langlands
Tannakian_formalism
Japanese anatomical text translated from Dutch and Latin
the modernization of Japanese medicine. Sugita Genpaku Nakagawa Jun'an Satake Shozan Hiraga Gennai Kaitai-Shin Show (an educational program on NHK) Ontleedkundige
Kaitai_Shinsho
Techniques and skills used by ninja
the narrative of a visit in 1879, Volume 2. John Murray. OCLC 1309476. Satake, Akihiro; Yasumada, Hideo; Kudō, Rikio; Ōtani, Masao; Yamazaki, Yoshiyuki
Ninjutsu
Objects of certain abelian categories associated to topological spaces
speaking, a Hodge-theoretic refinement of perverse sheaves. The geometric Satake equivalence identifies equivariant perverse sheaves on the affine Grassmannian
Perverse_sheaf
Very large wave created by a large, sudden displacement of material into a body of water
2020 "Significant Volcanic Eruption". NGDC NCEI. Retrieved 30 March 2021. Satake, Kenji (2007). "Volcanic origin of the 1741 Oshima-Oshima tsunami in the
Megatsunami
Type of Riemannian manifold
MR 1206066 Kurnosov, Nikon; Soldatenkov, Andrey; Verbitsky, Misha (2019), "Kuga-Satake construction and cohomology of hyperkähler manifolds", Advances in Mathematics
Hyperkähler_manifold
Television station in Wilmington, North Carolina
"Wilmington Goes Digital First". WECT. Retrieved August 13, 2023. Alison Lee Satake, "Only 52 days remain until analog television screens in the greater Wilmington
WECT
Tenerife. 167 pp. ISBN 8488594585. (in Spanish and English) Ohsumi, S. & Y. Satake (1976). Provisional report on investigations of sperm whales off the coast
List of giant squid specimens and sightings (20th century)
List_of_giant_squid_specimens_and_sightings_(20th_century)
State of matter with insulating bulk but conductive boundary
ISSN 1530-6984. PMID 22827514. S2CID 28030427. Tu, Ngoc Han, Tanabe, Yoichi; Satake, Yosuke, Huynh, Khuong Kim; Le, Phuoc Huu, Matsushita, Stephane Yu; Tanigaki
Topological_insulator
Subsided section of the Big Island of Hawaii
; Eakins, Barry W.; Kanamatsu, Toshiya; Naka, Jiro; Takahashi, Eiichi; Satake, Kenji; Smith, John R.; Clague, David A.; Yokose, Hisayoshi (2006), JAMSTEC
Hilina_Slump
Chemical compound involving ionic bonding
Archived from the original (PDF) on 2017-02-08. Retrieved 2016-01-18. Satake, M; Mido, Y (1995). Chemistry of Colour. Discovery Publishing House. p. 230
Salt_(chemistry)
Comparison of a large range of energies
Bibcode:1997RvGeo..35...41T. doi:10.1029/96RG03038. ISSN 8755-1209. Fujii, Yushiro; Satake, Kenji; Watada, Shingo; Ho, Tung-Cheng (1 December 2021). "Re-examination
Orders_of_magnitude_(energy)
Variant of the notion of the center of a monoid, group, or ring to a category
197–206. hdl:10338.dmlcz/701494. MR 1151906. Zhu, Xinwen (2018). "Geometric Satake, categorical traces, and arithmetic of Shimura varieties". Current Developments
Center_(category_theory)
Vaccine against SARS-CoV-2
Archived from the original on 13 May 2020. Retrieved 4 May 2020. Takada N, Satake M (2 May 2020). "US and China unleash wallets in race for coronavirus vaccine"
COVID-19_vaccine
Method in mass spectrometry
Bibcode:2002RCMS...16..988P. doi:10.1002/rcm.667. ISSN 1097-0231. PMID 11968132. Satake, Hiroyuki; Hasegawa, Hideki; Hirabayashi, Atsumu; Hashimoto, Yuichiro; Baba
Electron-capture_dissociation
Manifold with inversion symmetry
described in detail in Koecher (1969) and Loos (1977) and summarized in Satake (1981). The development is in the reverse order from that using the structure
Hermitian_symmetric_space
PMC 3597519. PMID 23516359. Shors 2017, p. 464 Tanaka J, Akita T, Ko K, Miura Y, Satake M (September 2019). "Countermeasures against viral hepatitis B and C in
Introduction_to_viruses
History of maths
version of the geometric Satake equivalence and formulates a geometric Langlands duality for quantum groups. The geometric Satake equivalence realized the
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
1002/chem.200390016. PMID 12506379. Chigusa Goto; Mika Yamamura; Akiharu Satake & Yoshiaki Kobuke (2001). "Artificial Ion Channels Showing Rectified Current
Synthetic_ion_channels
Scientific work to develop a vaccine for COVID-19
Archived from the original on 11 May 2020. Retrieved 2 May 2020. Takada N, Satake M (2 May 2020). "US and China unleash wallets in race for coronavirus vaccine"
History of COVID-19 vaccine development
History_of_COVID-19_vaccine_development
Group of rare meteorites
Frank, D.; Zolensky, M.; Martinez J.; Mikouchi T.; Ohsumi K.; Hagiya K.; Satake W.; Le L.; Ross D.; Peslier A. (2011). A CAI in the Ivuna CI1 Chondrite
CI_chondrite
travel, tourism, insurance
SATAKE DIAGRAM
SATAKE DIAGRAM
Surname or Lastname
English
English : occupational name for someone who made and drove in stakes, or a topographic name for someone who lived near a boundary post for example, from a derivative of Middle English stake ‘post’, ‘stake’.
Male
Greek
(Σατάν) Greek form of Hebrew satan, SATAN means "adversary." In the bible, this is the name of the inveterate enemy of God. In the New Testament, Hebrew satan is translated once into Greek Diabolos, and once using the word epiboulos, meaning "plotter." This is also the Late Latin and Old English form of Hebrew satan.
Male
Finnish
Pet form of Finnish Sakari, SAKKE means "whom Jehovah remembered."
Surname or Lastname
English
English : nickname for someone thought to resemble a woodpecker in some way, Middle English spek(e) (a reduced form of Old French espeche(e), of Germanic origin).
Boy/Male
Hindu
A musical note
Surname or Lastname
English
English : habitational name from any of the numerous places throughout England named from Middle English stoke. The exact sense in individual cases is not clear; it seems to have meant originally merely ‘place’, and to have been used mainly for an outlying hamlet or dependent settlement.
Boy/Male
Hindu
One of the four spiritual son of Brahma
Male
Finnish
Pet form of Finnish Aarne, AAKE means "eagle."
Surname or Lastname
English and Scottish
English and Scottish : nickname for a wild or uncouth person, from Middle English, Old French salvage, sauvage ‘untamed’ (Late Latin salvaticus literally ‘man of the woods’, a derivative of Latin silva ‘wood’, influenced by Latin salvus ‘whole’, i.e. natural).Irish : generally of English origin (it was taken to County Down in the 12th century), this name has also sometimes been adopted as equivalent of Gaelic Ó Sabháin, the name of a small south Munster sept, which was earlier Anglicized as O’Savin (see Savin).Americanized form of Ashkenazic Jewish Savich.A Jacob Savage, born in Exeter, Devon, England, in 1604, is recorded in Essex, NJ, by the early 1630s. Edward Savage, of Huguenot descent, emigrated from Ireland to Massachusetts in 1696. His grandson and namesake, who was born in Princeton, MA, in 1761 gained fame as an artist for his portrait of George Washington (1789–90).
Boy/Male
Native American
Falcon.
Boy/Male
Hindu
Another name for Ayodhya, City
Girl/Female
Hindu, Indian
Body Style
Girl/Female
Sikh
Virtuous brave
Boy/Male
Hindu
Honor respect
Girl/Female
Hindu
Female
Italian
Italian form of Latin Natalia, NATALE means "birthday," or in Church Latin "Christmas day."
Girl/Female
Hindu
(Demoness (rakshasi) killed by Rama; mother of Mareecha)
Surname or Lastname
English
English : topographic name for someone who lived by a prominent post or stake, for example a boundary marker, from Middle English stake ‘post’, ‘stake’, or from the same word used as a nickname for a tall, thin person.
Surname or Lastname
English
English : variant of Speake.
Boy/Male
Hindu
(Brother of amavasu and vivasu)
SATAKE DIAGRAM
SATAKE DIAGRAM
SATAKE DIAGRAM
SATAKE DIAGRAM
SATAKE DIAGRAM
SATAKE DIAGRAM
SATAKE DIAGRAM
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