Modular Representations of Finite Groups - Stanford University Modular representation theory is the representation theory of finite groups over a field of prime characteristic $p$ It is very different from the characteristic zero theory, though there is a rich interplay between the two
Modular Representation Theory of Finite Groups | SpringerLink Provides a concise introduction to modular representation theory; Is aimed at students at masters level; Compares group theoretic and module theoretic concepts; Includes supplementary material: sn pub extras
A Short Introduction to the Modular Representation Theory of Finite Groups To begin with, we review elementary definitions and examples about representations of finite groups Definition 1 1 (K-representation, matrix representation) (a)A K-representation of G is a group homomorphism ρ: G ÝÑGLpVq, where V Kn (nPZ ¥0) is a K-vector and GLpVq: Aut KpVq (b)A matrix representation of Gover Kis a group homomorphism
Modular representations of finite groups and Lie theory We introduce a degeneration method in the modular repre-sentation theory of finite groups of Lie type in non-defining characteristic Combined with the rigidity property of per-verse equivalences, this provides a setting for two-variable decomposition matrices, for large characteristic
[1108. 3310] Modular Representations, Old and New - arXiv. org In this survey article we first discuss the work being done on some outstanding conjectures in the theory We then describe work done in the eighties and nineties on modular representations in non-defining characteristic of finite reductive groups
MODULAR OF A FINITE GROUP - Project Euclid semisimple by Theorem 1 If p is a finite prime dividing the order of G, very little is known about A (k, G), even in the case where this is a finite-dimensional algebra, i e , when the Sylow p- ubgroups of G are cyclic The greater part of this paper (2) is devoted
Modular Representation Theory of Finite Groups local vs. global We are going to discuss local-global conjectures on modular representation theory of nite groups We assume throughout that: p is a ( xed) prime, and a triple (K;O;k) is a p-modular system, i e Ois a complete discrete valuation ring, K is its quotient eld with char(K) = 0 and k:= O=rad(O) is a residue eld of Owith