Results 181 to 190 of about 39,216 (213)

Modular invariance and the Feigin-Fuch representation of characters for SUk(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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A Universal Inductive Framework for Modular Characters and Representations

This paper introduces a novel universal inductive framework for the construction and analysis of modular characters and representations of finite groups. Building upon established principles of modular representation theory, including Brauer characters, Green's theory of vertices and sources, and Clifford theory, our framework provides a systematic and
Revista, Zen, MATH, 10
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Modular Representations and the Decomposition of Induced Characters: A Geometric Approach

This paper explores the intricate relationship between modular representations of finite groups and the decomposition of induced characters, employing a geometric perspective. We investigate how the geometric structure of algebraic varieties associated with group actions influences the decomposition matrices arising in modular representation theory ...
Revista, Zen, MATH, 10
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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

Portions of editing assistance were provided by OpenAI ChatGPT. All content was reviewed and verified by the author.
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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

Portions of editing assistance were provided by OpenAI ChatGPT. All content was reviewed and verified by the author.
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