On rings and categories of general representations

Details On rings and categories of general representations On rings and categories of general representations

2010-02-15

arxiv.org/abs/1002.2801v2

Mathematics

K-Theory and Homology

14 pages, no figure; Minor clarifications of a few sentences, added missed notation

Scientific paper

In this note we show that similar to the classical case the ring of
representations of symmetric groups in a tensor derived category is certain
ring of symmetric functions. We also show that in the general setting
considered here, the Adams operations compute the characteristic series
associated to powers of endomorphisms.

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