Results 11 to 20 of about 386 (69)
James' Submodule Theorem and the Steinberg Module [PDF]
, 2017 James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with a split $BN$-pair.
Geck, Meinolf
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Documenta Mathematica, 1996 In 1980, Lusztig posed the problem of showing the existence of a unipotent support for the irreducible characters of a nite reductive group G(F q ). This is de ned in terms of certain average values of the irreducible characters on unipotent classes. The
M. Geck
semanticscholar +1 more source
On the classification of simple modules for cyclotomic Hecke algebras of type G(m,1,n) and Kleshchev multipartitions [PDF]
, 2000 We give a proof of a conjecture that Kleshchev multipartitions are those partitions which parametrize non-zero simple modules obtained as factor modules of Specht modules by their own radicals.Comment: 11 pages, LaTeX, the last theorem and related ...
Ariki, Susumu
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Lifting representations of finite reductive groups: a character relation [PDF]
, 2015 Given a connected reductive group $\tilde{G}$ over a finite field $k$, and a semisimple $k$-automorphism $\varepsilon$ of $\tilde{G}$ of finite order, let $G$ denote the connected part of the group of $\varepsilon$-fixed points.
Digne +9 more
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A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Forum of Mathematics, Sigma, 2015 Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
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THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE
Forum of Mathematics, Pi, 2016 In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
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A progenerator for representations of SL(n,q) in transverse characteristic
, 2011 Let G=GL(n,q), SL(n,q) or PGL(n,q) where q is a power of some prime number p, let U denote a Sylow p-subgroup of G and let R be a commutative ring in which p is invertible.
Bonnafé, Cédric
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A local-global principle for unipotent characters
Forum of Mathematics, SigmaWe obtain an adaptation of Dade’s Conjecture and Späth’s Character Triple Conjecture to unipotent characters of simple, simply connected finite reductive groups of type $\mathbf {A}$ , $\mathbf {B}$ and $\mathbf {C}$ .
Damiano Rossi
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On projective modules for Frobenius kernels and finite Chevalley groups
, 2013 Let $G$ be a simply-connected semisimple algebraic group scheme over an algebraically closed field of characteristic $p > 0$. Let $r \geq 1$ and set $q = p^r$. We show that if a rational $G$-module $M$ is projective over the $r$-th Frobenius kernel $G_r$
Drupieski, Christopher M.
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Principal series for general linear groups over finite commutative rings
, 2017 We construct, for any finite commutative ring $R$, a family of representations of the general linear group $\mathrm{GL}_n(R)$ whose intertwining properties mirror those of the principal series for $\mathrm{GL}_n$ over a finite field.Comment: 10 ...
Brown, André EX +11 more
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