Generalised Burnside Rings, G-categories and Module Categories
classification
🧮 math.RT
math.GRmath.RA
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algebraicapplicationburnsidegeneralisedgroupsringstheorybase
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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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