Cohomology of algebraic groups with coefficients in twisted representations
K-Theory and Homology
2018-10-04 v1
Abstract
This article is a survey on the cohomology of a reductive algebraic group with coefficients in twisted representations. A large part of the paper is devoted to the advances obtained by the theory of strict polynomial functors initiated by Friedlander and Suslin in the late nineties. The last section explains that the existence of certain `universal classes' used to prove cohomological finite generation is equivalent to some recent `untwisting theorems' in the theory of strict polynomial functors. We actually provide thereby a new proof of these theorems.
Keywords
Cite
@article{arxiv.1810.01631,
title = {Cohomology of algebraic groups with coefficients in twisted representations},
author = {Antoine Touzé},
journal= {arXiv preprint arXiv:1810.01631},
year = {2018}
}
Comments
32 pages. To appear in Geometric and Topological Aspects of Group Representations, eds. JF Carlson, SB Iyengar and J Pevtsova, PIMS (2018), Springer