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Mathematical Proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 5/2008, Volume 144, Issue 3, pp. 697 - 706
We introduce the notion of character amenable Banach algebras. We prove that character amenability for either of the group algebra L-1(G) or the Fourier... 
MATHEMATICS | Mathematics | Algebraic group theory
Journal Article
Journal of Algebra, ISSN 0021-8693, 02/2019, Volume 520, pp. 400 - 418
This paper studies the “reduction mod p” method, which constructs large classes of representations for a semisimple algebraic group G from representations for... 
Algebraic groups | Cohomology | Quantum groups
Journal Article
Journal of Algebra, ISSN 0021-8693, 09/2018, Volume 509, pp. 124 - 191
Given a positive integer u and a simple algebraic group G defined over an algebraically closed field K of characteristic p, we derive properties about the... 
Finite groups of Lie type | Finite simple images of triangle groups | Simple algebraic groups | Subvarieties of simple algebraic groups | Elements of given order in simple algebraic groups | MATHEMATICS
Journal Article
2009, Annals of mathematics studies, ISBN 0691138818, Volume 168, x, 368
In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first... 
Buildings (Group theory) | Moufang loops | Automorphisms | Affine algebraic groups | Mathematics
Book
Journal of Pure and Applied Algebra, ISSN 0022-4049, 08/2018, Volume 222, Issue 8, pp. 2001 - 2005
We check that the connected centralisers of nilpotent elements in the orthogonal and symplectic groups have Levi decompositions in even characteristic. This... 
ALGEBRAIC-GROUPS | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Semigroup forum, ISSN 0037-1912
Journal
2010, Collected papers of John Milnor, ISBN 9780821848760, Volume 5, xii, 425
Book
2010, New mathematical monographs, ISBN 0521195608, Volume 17, xx, 533
"Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications.... 
Linear algebraic groups | Group theory
Book
Journal of Algebra, ISSN 0021-8693, 06/2016, Volume 455, pp. 93 - 107
Let G be a reductive algebraic group and V a G-module. We consider the question of when (GL(V),ρ(G)) is a reductive pair of algebraic groups, where ρ is the... 
Representations of algebraic groups | Reductive pairs of algebraic groups
Journal Article
Journal of Algebra, ISSN 0021-8693, 02/2019, Volume 520, pp. 309 - 366
We show that for every conjugacy class O in a connected semisimple algebraic group G over an algebraically closed field of characteristic good for G one can... 
Transversal slice | Algebraic group | MATHEMATICS | WEYL GROUP
Journal Article
Journal of Algebra, ISSN 0021-8693, 05/2018, Volume 502, pp. 98 - 119
We give a short proof for the existence of μ-ordinary Hasse invariants for the good reduction special fiber of Shimura varieties of Hodge-type using the stack... 
Reductive groups | Stacks | Shimura varieties | Algebraic groups
Journal Article
2015, Annals of mathematics studies, ISBN 1400874017, Volume no. 190., xvi, 336 pages
Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their... 
Buildings (Group theory) | Combinatorial geometry | Geometry | General | Mathematics | Combinatorics | Algebraic | Algebraic topology | Group theory
Book
11/2017, ISBN 1522527826, 317
Mathematics has been used as a tool in logistical reasoning for centuries. Examining how specific mathematic structures can aid in data and knowledge... 
Probabilistic number theory
eBook
Compositio Mathematica, ISSN 0010-437X, 07/2015, Volume 151, Issue 7, pp. 1309 - 1371
Under endoscopic assumptions about $L$-packets of unitary groups, we prove the local Gan–Gross–Prasad conjecture for tempered representations of unitary groups... 
Algebraic group theory
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2018, Volume 329, pp. 392 - 421
Let G be a reductive algebraic group scheme defined over Fp and let G1 denote the Frobenius kernel of G. To each finite-dimensional G-module M, one can define... 
Support varieties | Representation theory | Tilting modules | Algebraic groups | Frobenius kernels | Nilpotent cone | ALGEBRAIC-GROUPS | MATHEMATICS | COHOMOLOGY | QUANTUM GROUPS | ROOTS
Journal Article
2001, History of mathematics, ISBN 0821802887, Volume 21, xii, 184
Book
Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2019, Volume 372, Issue 8, pp. 5263 - 5286
We study the existence of zero-cycles of degree one on varieties that are defined over a function field of a curve over a complete discretely valued field. We... 
zero-cycles | MATHEMATICS | semiglobal fields | local-global principles | discrete valuation rings | LINEAR ALGEBRAIC-GROUPS | VARIETIES | INDEX | Linear algebraic groups and torsors
Journal Article
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