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

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

Algebraic groups | Cohomology | Quantum groups

Journal Article

2017, Volume 691.

Conference Proceeding

2011, 6th ed., ISBN 0821852825, xv, 420

Book

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

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

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

ALGEBRAIC-GROUPS | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

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

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

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

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

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

Buildings (Group theory) | Combinatorial geometry | Geometry | General | Mathematics | Combinatorics | Algebraic | Algebraic topology | Group theory

Book

2014, Graduate studies in mathematics, ISBN 1470410478, Volume 152, xvi, 192

Differential geometry -- Global differential geometry -- Hermitian and Kählerian manifolds | Differential geometry -- Global differential geometry -- Special Riemannian manifolds (Einstein, Sasakian, etc.) | Algebraic geometry -- Algebraic groups -- Geometric invariant theory | Geometry, Differential

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

Probabilistic number theory

eBook

37.
Full Text
Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires

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

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

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

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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