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Modular representations of finite groups and Lie theory

Journal of Algebra
This article discusses the modular representation theory of finite groups of Lie type from the viewpoint of Broue's abelian defect group conjecture. We discuss both the defining characteristic case, the inspiration for Alperin's weight conjecture, and the non-defining case, the inspiration for Broue's conjecture.
Raphaël Rouquier
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Contributions to Modular Representation Theory of Finite Groups

1991
Since all finite simple groups have been classified [43], it is a natural question whether the major conjectures in modular representation theory are consequences of this important and deep classification theorem. In this article, a survey is given about the progress which has been achieved on the famous open conjectures of J. Alperin [2] and R. Brauer
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Assembly Configuration Representation and Kinematic Modeling for Modular Reconfigurable Robots Based on Graph Theory

Symmetry, 2022
Chin-Yin Chen, Chi Zhang, Guilin Yang
exaly  

The modular representation theory of ℋ

1999
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Modular representation theory

1999
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Modular Representations of GL(n,FP) and Homotopy Theory

Lecture Notes in Mathematics, 1985
R M W Wood
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On the endomorphism algebras of modular Gelfand–Graev representations

Journal of Algebra, 2008
Radha Kessar, Cedric Bonnafe
exaly  

Discrete series of representations for the modular double of the quantum group U q (sl(2, ℝ))

Functional Analysis and Its Applications, 2009
L D Faddeev
exaly  

Rings of invariants for modular representations of elementary abelian p-groups

Transformation Groups, 2013
H E A Campbell
exaly  

Modular Representation Theory of Affine and Cyclotomic Yokonuma-Hecke Algebras

Algebras and Representation Theory, 2019
Jinkui Wan, Weideng Cui
exaly