Generalised Burnside Rings, G-categories and Module Categories
Representation Theory
2011-12-02 v2 Group Theory
Rings and Algebras
Abstract
This note describes an application of the theory of generalised Burnside rings to algebraic representation theory. Tables of marks are given explicitly for the groups and which are of particular interest in the context of reductive algebraic groups. As an application, the base sets for the nilpotent element are computed.
Cite
@article{arxiv.1110.4722,
title = {Generalised Burnside Rings, G-categories and Module Categories},
author = {Paul Gunnells and Andrew Rose and Dmitriy Rumynin},
journal= {arXiv preprint arXiv:1110.4722},
year = {2011}
}
Comments
14 pages, 4 tables