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In complex analysis, the Schur class is the set of holomorphic functions f ( z ) {\displaystyle f(z)} defined on the open unit disk D = { z ∈ C : | z
Schur_class
Topics referred to by the same term
A Schur function may be: A Schur polynomial A holomorphic function in the Schur class This disambiguation page lists mathematics articles associated with
Schur_function
Topics referred to by the same term
mathematics, the Schur algorithm may be: The Schur algorithm for expanding a function in the Schur class as a continued fraction The Lehmer–Schur algorithm for
Schur_algorithm
Schur. Frobenius–Schur indicator Herz–Schur multiplier Jordan–Schur theorem Lehmer–Schur algorithm Schur algebra Schur class Schur's conjecture Schur
List of things named after Issai Schur
List_of_things_named_after_Issai_Schur
Russian and German mathematician (1875–1941)
Schur: Schur algebra Schur complement Schur index Schur indicator Schur multiplier Schur orthogonality relations Schur polynomial Schur product Schur
Issai_Schur
Elementwise product of two matrices
Hadamard product (also known as the element-wise product, entrywise product or Schur product) is a binary operation that takes in two matrices of the same dimensions
Hadamard_product_(matrices)
2024 American comedy series
on the Inside is an American comedy television series created by Michael Schur and starring Ted Danson as a retiree turned amateur private investigator
A_Man_on_the_Inside
Mathematical formula
for Schubert classes. There is another Giambelli identity, expressing Schur functions as determinants of matrices whose entries are Schur functions corresponding
Giambelli's_formula
the discipline of representation theory, the Schur indicator, named after Issai Schur, or Frobenius–Schur indicator describes what invariant bilinear forms
Frobenius–Schur_indicator
American mockumentary television sitcom (2009–2015)
satire mockumentary television sitcom created by Greg Daniels and Michael Schur. The series aired on NBC from April 9, 2009, to February 24, 2015, for 125
Parks_and_Recreation
Sporadic simple group
about the 2-part of the Schur multiplier in the mathematical literature. Burgoyne & Fong (1966) incorrectly claimed that the Schur multiplier of M22 has
Mathieu_group_M22
American lawyer and lexicographer
Norman W. Schur (1907–1992) was an American lawyer and lexicographer. Schur was born in Boston, Massachusetts, graduating from Boston Latin School before
Norman_W._Schur
Generalization of Lie groups
In mathematics, the Schur orthogonality relations, which were proven by Issai Schur through Schur's lemma, express a central fact about representations
Schur_orthogonality_relations
In mathematics, Schur algebras, named after Issai Schur, are certain finite-dimensional algebras closely associated with Schur–Weyl duality between general
Schur_algebra
Homomorphisms between simple modules over the same ring are isomorphisms or zero
In mathematics, Schur's lemma is an elementary but useful statement in representation theory of groups and algebras. In the group case it says that if
Schur's_lemma
Moment problem Orthogonal polynomials on the unit circle Spectral measure Schur class Szegő limit theorems Wiener's lemma Geronimus 1946. Akhiezer 1965, pp
Trigonometric_moment_problem
Group of even permutations of a finite set
conjugacy classes (rather than all being conjugate) and there are non-trivial maps A3 ↠ Z3 (in fact an isomorphism) and A4 ↠ Z3. The Schur multipliers
Alternating_group
gives all finite simple groups, together with their order, the size of the Schur multiplier, the size of the outer automorphism group, usually some small
List_of_finite_simple_groups
American fantasy-comedy television series (2016–2020)
Place is an American fantasy-comedy television series created by Michael Schur for NBC. The series premiered on September 19, 2016, and concluded on January
The_Good_Place
the reflection coefficient or the Szegő parameter. Cayley transform Schur class Favard's theorem Bultheel, A. (2001) [1994], "Szegö polynomial", Encyclopedia
Szegő_polynomial
orthogonal polynomials on the unit circle. Trigonometric moment problem Schur class Simon 2005a, p. 43. Simon 2010, p. 44. Simon 2010, p. 74. Schmüdgen 2017
Orthogonal polynomials on the unit circle
Orthogonal_polynomials_on_the_unit_circle
Special episode of Parks and Recreation
on April 30, 2020, on NBC. It was written by series co-creator Michael Schur with Megan Amram, Dave King, Joe Mande, Aisha Muharrar, Matt Murray, and
A Parks and Recreation Special
A_Parks_and_Recreation_Special
US TV sitcom character, created 2009
(September 1, 2011). "Parks and Recreation Showrunner Michael Schur Gives a Master Class on His Favorite Comedy, Cheers". New York. Archived from the original
Mark_Brendanawicz
Preorder on vectors of real numbers
example of a Schur-convex function is the max function, max ( x ) = x 1 ↓ {\displaystyle \max(\mathbf {x} )=x_{1}^{\downarrow }} . Schur convex functions
Majorization
Result on density of prime numbers
result was discovered independently in 1929 by Issai Schur, and is now often known as the Sylvester–Schur theorem. Bertrand's postulate follows from this result
Bertrand's_postulate
group of degree n ≥ 4 has Schur covers of order 2⋅n! There are two isomorphism classes if n ≠ 6 and one isomorphism class if n = 6. The alternating group
Covering groups of the alternating and symmetric groups
Covering_groups_of_the_alternating_and_symmetric_groups
Sporadic simple group
the monster group. The outer automorphism group of B is trivial and the Schur multiplier of B has order 2. The existence of this group was suggested by
Baby_monster_group
Mathematical rule
coefficients that arise when decomposing a product of two Schur functions as a linear combination of other Schur functions. These coefficients are natural numbers
Littlewood–Richardson_rule
Mathematical group
perfect but has a Schur multiplier that is larger than expected include: A1(4) The Schur multiplier has an extra Z/2Z, so the Schur multiplier of the
Group_of_Lie_type
American actress (born 1976)
mockumentary-style sitcom on NBC. The show was created by Greg Daniels and Michael Schur, with whom she previously worked on The Office. She played nurse Ann Perkins
Rashida_Jones
American actress and comedian (born 1971)
Michael Schur. In July 2008, Variety reported that Poehler was in final negotiations to star in the still untitled series from Daniels and Schur. Poehler
Amy_Poehler
Mathematician
functions, Young tableaux, and k {\displaystyle k} -Schur functions, which are a generalization of Schur polynomials. Morse earned her Ph.D. in 1999 from
Jennifer Morse (mathematician)
Jennifer_Morse_(mathematician)
Swiss mathematician (1909–1978)
"The Schur Complement and Its Applications", in Zhang, Fuzhen (ed.), Historical Introduction: Issai Schur and the Early Development of the Schur Complement
Eduard_Stiefel
Mathematical formula for the number of Young tableaux
number of semi-standard Young tableaux, which is a specialization of a Schur polynomial. Let λ = ( λ 1 ≥ ⋯ ≥ λ k ) {\displaystyle \lambda =(\lambda _{1}\geq
Hook_length_formula
City in Michigan, United States
on the door, and it was later found that Schur had a check already made out and had failed to mail it. Schur died from hypothermia in his home a few days
Bay_City,_Michigan
Season of television series
the fantasy-comedy television series The Good Place, created by Michael Schur, was ordered by NBC on December 4, 2018. The season premiered on September
The_Good_Place_season_4
Season of television series
in Parks and Recreation. It was only after she was cast that Daniels and Schur established the general concept of the show and the script for the pilot
Parks_and_Recreation_season_7
mathematics, Schubert polynomials are generalizations of Schur polynomials that represent cohomology classes of Schubert cycles in flag varieties. They were introduced
Schubert_polynomial
Finite dimensional algebra over a field whose central elements are that field
dimension. The Schur index of a central simple algebra is the degree of the equivalent division algebra: it depends only on the Brauer class of the algebra
Central_simple_algebra
Season of television series
in Parks and Recreation. It was only after she was cast that Daniels and Schur established the general concept of the show and the script for the pilot
Parks_and_Recreation_season_6
Representation of a matrix as a product
the complex Schur form which has the eigenvalues of A along its diagonal. Comment: if A is a normal matrix, then T is diagonal and the Schur decomposition
Matrix_decomposition
Municipal election in California
Einbinder, actress Christopher Lloyd, actor Paul Scheer, actor Michael Schur, producer and director Labor unions United Auto Workers Region 6 Organizations
2026 Los Angeles mayoral election
2026_Los_Angeles_mayoral_election
American actor (born 1972)
(2019). He has had recurring roles on four TV series created by Michael Schur, portraying Dennis Feinstein in Parks and Recreation, Adrian Pimento in
Jason_Mantzoukas
Sporadic simple group
1984) and constructed by John H. Conway and David B. Wales (1973). Its Schur multiplier has order 2, and its outer automorphism group is trivial. In
Rudvalis_group
2011 film by Gavin O'Connor
similar plot was made in 2015 in Russia. 'Warrior' Co-Financier Mimran Schur Pictures Makes Multi-Picture Lionsgate Deal "WARRIOR". British Board of
Warrior_(2011_film)
Mathematical category
equivalent to H o m ( 1 , 1 ) ≅ k {\displaystyle \mathrm {Hom} (1,1)\cong k} by Schur's lemma. The Representation Category of a finite group G {\displaystyle G}
Fusion_category
Topics referred to by the same term
subspaces Orthogonal complement Schur complement Complement (complexity), relating to decision problems and complexity classes Complement operator (regular
Complement
British actress and comedian (born 1986)
While working as a writer at 3 Arts, her agents told her that Michael Schur, who co-created Parks and Recreation, was looking for a British actress
Jameela_Jamil
1st episode of the 1st season of Parks and Recreation
States on April 9, 2009. The episode was written by series creators Michael Schur and Greg Daniels, and directed by Daniels. The episode introduces the protagonist
Pilot_(Parks_and_Recreation)
American actor (born 1979)
a producer and writer on the show; he and Kaling, Greg Daniels, Michael Schur and Paul Lieberstein were its original writers. Novak is credited with writing
B._J._Novak
19th episode of the 3rd season of The Office
2007 on NBC as a longer, "super-sized" episode. It was written by Michael Schur and directed by Jeffrey Blitz, and featured the end of Roy's plot arc to
The_Negotiation_(The_Office)
Fictional character
(director), "Boys and Girls". The Office, NBC. Aired on April 5, 2005. Schur, Michael (writer) & Daniels, Greg (director), "Valentine's Day". The Office
Jan_Levinson
American mathematician
algebraic combinatorics and geometric combinatorics, including the study of Schur polynomials, Schubert polynomials, Ehrhart polynomials, flow polytopes,
Karola_Mészáros
American actress and producer (born 1984)
she was in the city. Jones set up a meeting with Greg Daniels and Michael Schur, who were developing Parks and Recreation. At the meeting, they told her
Aubrey_Plaza
Season of television series
the fantasy-comedy television series The Good Place, created by Michael Schur, aired between September 19, 2016, and January 19, 2017, on NBC in the United
The_Good_Place_season_1
Topic in mathematical analysis
with the constant 2π instead of π; the sharp constant was found by Issai Schur. It implies that the discrete Hilbert transform is a bounded operator in
Hilbert's_inequality
Equivalence relation
it is applicable to all groups. Isoclinism also has consequences for the Schur multiplier and the associated aspects of character theory, as described
Isoclinism_of_groups
Collection of groups
A class of groups is a set-theoretical collection of groups satisfying the property that if G is in the collection then every group isomorphic to G is
Class_of_groups
Branch of mathematics that studies the properties of groups
parts, in turn, are much more easily manageable than the whole V (via Schur's lemma). Given a group G, representation theory then asks what representations
Group_theory
American writer and television producer
(May 5, 2020). "Jean Smart to Star in HBO Max Dark Comedy Series From Mike Schur, 'Broad City' Trio". The Hollywood Reporter. Valence Media. Archived from
Lucia_Aniello
Generalization of the Jack polynomial
polynomial is a homogeneous, symmetric polynomial which generalizes the Schur and zonal polynomials, and is in turn generalized by the Heckman–Opdam polynomials
Jack_function
American actress and comedian (born 1980)
(March 15, 2016). "'Good Place': UCB Performer D'Arcy Carden Cast In Mike Schur NBC Series". Deadline. Archived from the original on March 15, 2016. Retrieved
D'Arcy_Carden
Species of vascular plant in the horsetail family
palustre var. arcuatum Milde Equisetum palustre var. collinum-tenerrimum Schur Equisetum palustre var. japonicum Nakai Equisetum palustre var. leptostachyum
Equisetum_palustre
Branch of algebraic geometry
the same form as the first Jacobi-Trudi identity, expressing arbitrary Schur functions s a {\displaystyle s_{\mathbf {a} }} as determinants in terms
Schubert_calculus
cohomology Group extension Presentation of a group Product of group subsets Schur multiplier Semidirect product Sylow theorems Hall subgroup Wreath product
List_of_group_theory_topics
American mathematician
Schilling is the author of the research monograph k {\displaystyle k} -Schur Functions and Affine Schubert Calculus (Fields Institute Monographs 33,
Anne_Schilling
Finite simple group; sometimes classed as sporadic
group of Lie type, it is sometimes regarded as a 27th sporadic group. The Schur multiplier of the Tits group is trivial and its outer automorphism group
Tits_group
Austrian neurologist and founder of psychoanalysis (1856–1939)
and fellow refugee, Max Schur, reminding him that they had previously discussed the terminal stages of his illness: "Schur, you remember our 'contract'
Sigmund_Freud
episode "Karen Peralta". In "The Party", to prevent the mostly working class detectives from embarrassing themselves in front of a crowd of academics
List of Brooklyn Nine-Nine characters
List_of_Brooklyn_Nine-Nine_characters
Mathematical concept
central series of length n is called the nilpotency class of G; and G is said to be nilpotent of class n. (By definition, the length is n if there are n
Nilpotent_group
1996 novel by David Foster Wallace
Decemberists' "Calamity Song", directed by Parks and Recreation co-creator Michael Schur, recreates the novel's Eschaton chapter. The music video for MC Lars and
Infinite_Jest
Sporadic simple group
The Fischer group Fi24, the baby monster, and the Conway group Co1. The Schur multiplier and the outer automorphism group of the monster are both trivial
Monster_group
Number in {..., –2, –1, 0, 1, 2, ...}
denote either the set of integers modulo p (i.e., the set of congruence classes of integers), or the set of p-adic integers. The whole numbers were synonymous
Integer
Sporadic simple group
David Wales (1968) as a rank 3 permutation group on 100 points. Both the Schur multiplier and the outer automorphism group have order 2. As a permutation
Janko_group_J2
English actor, comedian, and musician (born 1959)
Neville, a British archaeology professor, in the new Amy Poehler and Mike Schur comedy TV series Dig. Laurie is set to join the BBC and MGM+ series Legacy
Hugh_Laurie
Sporadic simple group
3-transposition groups. The outer automorphism group has order 2, and the Schur multiplier has order 6. The Fischer group Fi22 has a rank 3 action on a
Fischer_group_Fi22
Public high school in Houston, Texas, United States
Booker T. Washington High School to Waltrip and Reagan. In 2015 Andria Schur got a job as the principal of a charter school in Dallas, Texas, causing
Waltrip_High_School
Austrian-French engineer and mathematician
die Kreiskörper der l-ten und l2-ten Einheitswurzeln, advised by Issai Schur and based on results published first in 1917. Pollaczek was employed by
Félix_Pollaczek
Sporadic simple group
the cases n ≥ 12 were ruled out by J.G. Thompson and Ronald Solomon. The Schur multiplier and the outer automorphism group are both trivial. Since 37 and
Lyons_group
Season of television series
Parks and Recreation/The Good Place creator Michael Schur joined the writing staff. Decades later, Schur explained that he initially applied for the job at
Saturday_Night_Live_season_23
Mullally is the real-life wife of Nick Offerman, who plays Ron. Michael Schur conceived the idea for "Ron and Tammy," and asked Offerman whether he and
List of Parks and Recreation characters
List_of_Parks_and_Recreation_characters
Sporadic simple group
211:M24, 210:L5(2), and 23+12.(L3(2)xS5) over their intersections. The Schur multiplier and the outer automorphism group are both trivial. Since 37 and
Janko_group_J4
German mathematician (1886–1982)
theorem [ru] on space groups. In 1928 Bieberbach wrote a book with Issai Schur titled Über die Minkowskische Reduktiontheorie der positiven quadratischen
Ludwig_Bieberbach
2003–2011 conflict in Iraq
overrun Balad Air Base. The Iraqi Navy also purchased 12 US‑built Swift-class patrol boats, at a cost of $20 million each. Delivery was completed in 2013
Iraq_War
the existence of finite simple groups. The transfer was defined by Issai Schur (1902) and rediscovered by Emil Artin (1929). The construction of the map
Transfer_(group_theory)
24th episode of the 2nd season of Parks and Recreation
interview with the Los Angeles Times, Parks and Recreation co-creator Michael Schur cited stories about Kansas City closing down a great number of their public
Freddy_Spaghetti
American actress and director (born 1982)
Serrano and co-executive produced by Brooklyn Nine-Nine's co-creator Michael Schur. In 2024, Fumero began hosting the comedy podcast More Better with Stephanie
Melissa_Fumero
Israeli educator (1926–1992)
born Dina Schur in 1926 in Vienna, and emigrated to Mandate Palestine in 1934. She studied in the Herzliya Hebrew Gymnasium in the 32nd class, which graduated
Dina_Feitelson
Sporadic simple group
the Baby monster group, which therefore contains Th as a subgroup. The Schur multiplier and the outer automorphism group of the Thompson group are both
Thompson_sporadic_group
Schur polynomial is a symmetric function, of a type occurring in the Weyl character formula applied to unitary groups. 7. Schur index. 8. A Schur complex
Glossary of representation theory
Glossary_of_representation_theory
Sporadic simple group
lattice and thus is a subgroup of the Conway groups Co0, Co2 and Co3. Its Schur multiplier has order 3, and its outer automorphism group has order 2. The
McLaughlin_sporadic_group
American dark comedy drama television series
(May 5, 2020). "Jean Smart to Star in HBO Max Dark Comedy Series From Mike Schur, 'Broad City' Trio". The Hollywood Reporter. Valence Media. Archived from
Hacks
Sporadic simple group
the extension splits. The outer automorphism group has order 2 and the Schur multiplier is trivial. The smallest faithful complex representation has
Held_group
Sporadic simple group
1873). It is a 4-fold transitive permutation group on 23 objects. The Schur multiplier and the outer automorphism group are both trivial. Milgram (2000)
Mathieu_group_M23
Polynomial that permutes a ring
102. Fried, M. (1970). "On a conjecture of Schur". Michigan Math. J.: 41–55. Turnwald, G. (1995). "On Schur's conjecture". J. Austral. Math. Soc. 58 (3):
Permutation_polynomial
Group in which each element has finite order
element is the only element with finite order. Torsion (algebra) Jordan–Schur theorem E. S. Golod, On nil-algebras and finitely approximable p-groups
Torsion_group
Sporadic simple group
Bernd Fischer (1971, 1976) while investigating 3-transposition groups. The Schur multiplier and the outer automorphism group are both trivial. The Fischer
Fischer_group_Fi23
Season of television series
the fantasy-comedy television series The Good Place, created by Michael Schur, was renewed on November 21, 2017, on NBC, and began airing on September
The_Good_Place_season_3
Chancellor of Germany from 2005 to 2021
for her proficiency in Russian and mathematics, being at the top of her class in these subjects. She completed her school education with the best possible
Angela_Merkel
Species of spore-bearing plant
lagopus Laest. ex C. Hartm Lycopodium clavatum subsp. monostachyon (Hook. & Grev.) Sel. Lycopodium integrifolium Goldie Lycopodium pseudo-annotinum Schur
Lycopodium_lagopus
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