Symmetric Representation Rings are $\lambda$-Rings
K-Theory and Homology
2015-10-29 v4 Representation Theory
Abstract
The representation ring of an affine algebraic group scheme can be endowed with the structure of a (special) -ring. We show that the same is true for the ring of symmetric representations, i.e. for the Grothendieck-Witt ring of the representation category, for any affine algebraic group scheme over a field of characteristic not two.
Cite
@article{arxiv.1308.0796,
title = {Symmetric Representation Rings are $\lambda$-Rings},
author = {Marcus Zibrowius},
journal= {arXiv preprint arXiv:1308.0796},
year = {2015}
}
Comments
36 pages. Some changes of notation