Results 1 to 10 of about 1,610 (119)
The generalized Gelfand–Graev characters of GLn(Fq) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Introduced by Kawanaka in order to find the unipotent representations of finite groups of Lie type, gener- alized Gelfand–Graev characters have remained somewhat mysterious. Even in the case of the finite general linear groups, the combinatorics of their
Scott Andrews, Nathaniel Thiem
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Representations of generic algebras and finite groups of Lie type [PDF]
Transactions of the American Mathematical Society, 1983 The complex representation theory of a finite Lie group G G is related to that of certain "generic algebras". As a consequence, formulae are derived ("the Comparison Theorem"), relating multiplicities in G G to multiplicities in the Weyl group W W of G G .
Howlett, R. B., Lehrer, G. I.
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The Existence of Triple Factorizations for Sporadic Groups of Rank 3
Моделирование и анализ информационных систем, 2015 A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B.
L. S. Kazarin +2 more
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THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH $W(k)[\text{GL}_{n}(F)]$ -MODULES
Forum of Mathematics, Sigma, 2016 We consider the category of smooth $W(k)[\text{GL}_{n}(F)]$ -modules, where $F$
DAVID HELM
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Representations of Finite Groups of Lie Type [PDF]
, 1991 This book is based on a graduate course taught at the University of Paris. The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the results that can be deduced from it.
François Digne, Jean Michel
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Valued Graphs and the Representation Theory of Lie Algebras
Axioms, 2012 Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Joel Lemay
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Complex representation growth of finite quasisimple groups of Lie type [PDF]
Journal of Group Theory, 2015 Abstract We give upper bounds to the number of n-dimensional irreducible complex representations of finite quasisimple groups belonging to different families of groups of Lie type. The bounds have the form c ns , where c and s are explicit positive constants that both depend on the family in question ...
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Stiefel-Whitney Classes of Representations of Some Finite Groups of Lie Type
, 2022 In this note we present the Stiefel-Whitney classes (SWCs) for orthogonal representations of several finite groups of Lie type, namely for $G=\text{SL}(2,q),$ $\text{SL}(3,q),$ $\text{Sp}(4,q)$, and $\text{Sp}(6,q)$, with $q$ odd. We also describe the SWCs for $G=\text{SL}(2,q)$ when $q$ is even.
Malik, Neha, Spallone, Steven
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Almost cyclic elements in cross-characteristic representations of finite groups of Lie type [PDF]
Journal of Group Theory, 2019 Abstract This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one element is represented by an almost cyclic matrix (that is, a square matrix M of size n over a field
Di Martino L. +2 more
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Representations of monoids arising from finite groups of Lie type [PDF]
Transactions of the American Mathematical Society, 1996 A class of finite monoids M M constructed from a group G G of Lie type is considered. We describe the irreducible complex representations and prove the complete reducibility of the representations of M M .
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