Universal classes for algebraic groups
Representation Theory
2019-12-19 v2
Abstract
We exhibit cocycles representing certain classes in the rational cohomology of of the general linear group with coefficients in the divided powers of a Frobenius twist of the adjoint representation. These classes' existence was anticipated by van der Kallen, and they intervene in the proof that reductive linear algebraic groups have finitely generated cohomology algebras.
Cite
@article{arxiv.0809.0989,
title = {Universal classes for algebraic groups},
author = {Antoine Touzé},
journal= {arXiv preprint arXiv:0809.0989},
year = {2019}
}
Comments
24 pages. v2, slight modifications : corollary 0.2 added, additional comments in section 2, one reference added. To appear in Duke Math. J