Generalised Burnside Rings, G-categories and Module Categories

Details Generalised Burnside Rings, G-categories and Module Categories Generalised Burnside Rings, G-categories and Module Categories

2011-10-21

arxiv.org/abs/1110.4722v2

Mathematics

Representation Theory

14 pages, 4 tables

Scientific paper

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 $S_4$ and $S_5$ which are of particular interest in the context
of reductive algebraic groups. As an application, the base sets for the
nilpotent element $F_4 (a_3)$ are computed.

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