Cohomology of Commuting Varieties of Connected Compact Reductive Lie Groups
Representation Theory
2016-08-08 v1
Abstract
We calculate the rational cohomology of the commuting variety consisting of -tuples of commuting elements of a compact reductive group . This is done by studying a map from a related variety , which has easily calculated cohomology. The proof studies the fibers of the map and uses the Vietoris-Begle theorem to prove that the induced map on rational cohomology is an isomorphism.
Keywords
Cite
@article{arxiv.1608.01743,
title = {Cohomology of Commuting Varieties of Connected Compact Reductive Lie Groups},
author = {Henry Scher},
journal= {arXiv preprint arXiv:1608.01743},
year = {2016}
}