On rings and categories of general representations
K-Theory and Homology
2010-02-18 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1002.2801,
title = {On rings and categories of general representations},
author = {Shahram Biglari},
journal= {arXiv preprint arXiv:1002.2801},
year = {2010}
}
Comments
14 pages, no figure; Minor clarifications of a few sentences, added missed notation