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Characters of modular torsion free representations of classical lie algebras

Communications in Algebra, 1994
Karl M. Peters
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Modular invariance and the Feigin-Fuch representation of characters for SU_k(2) WZW and minimal models

Journal of Physics A: Mathematical and General, 1991
Summary: The authors discuss the modular properties of characters in Feigin-Fuks representation for \(SU_ k(2)\) WZW and minimal models, and give the explicit expressions of the \(S\)-matrix. The proof is given for a simple case.
Hou, Boyu, Yue, Ruihong
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Lecture 2- Modular Representations and Brauer Characters

Introduces modular systems (K, O, k), defines p-regular vs p-singular elements, and develops Brauer characters (defined on p-regular classes) with the Brauer–Nesbitt theorem. Explains reduction mod p, the decomposition matrix D linking ordinary and Brauer characters, and that the number of Brauer irreducibles equals the number of p-regular conjugacy ...
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Modular Representations and Brauer Characters of A5

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Modular Representation Theory- Block Idempotents, Central Characters, and Decompositions

These notes develop a structural, computation-ready view of modular representation theory through the lens of the group algebra’s center. Beginning with class sums and the decomposition of Z(FG) into block subalgebras, they define block idempotents and central characters and show that blocks can be characterized equivalently via reduced central ...
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Modular Representations via Quotients, Tensor Products, and Projective Characters

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Modular Representation Theory- Central Characters, Tensor Products, and Decomposition

Lecture notes linking central characters, blocks, projective indecomposables, and decomposition/Cartan matrices, with an emphasis on computing decomposition data via traces on p-regular classes and tensor constructions. Develops central characters and their mod-p reductions to define blocks; builds projective characters (vanishing on p-singular ...
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Lecture Notes- Modular Representation Theory and Brauer Characters of A_5

A focused set of notes on modular representation theory for the alternating group A₅ (|A₅| = 60). Topics include congruence conditions (mod 2, 3, 5), construction of Brauer characters from p-regular classes, and assembly/interpretation of the decomposition matrix D linking ordinary and modular characters.
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Characters and fusion rules forW-algebras via quantized Drinfeld-Sokolov reduction

Communications in Mathematical Physics, 1992
Victor Kac, Minoru Wakimoto
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Modular representations in type A with a two-row nilpotent central character

Galyna Dobrovolska, Vinoth Nandakumar, David Yang   +2 more
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