Finite Chevalley groups and loop groups
Algebraic Topology
2008-10-10 v1
Abstract
Let p, ell be distinct primes and let q be a power of p. Let G be a connected compact Lie group. We show that there exists an integer b such that the mod ell cohomology of the classifying space of a finite Chevalley group G(F_q) is isomorphic to the mod ell cohomology of the classifying space of the loop group LG for q=p^{ab}, a>0.
Cite
@article{arxiv.0810.1678,
title = {Finite Chevalley groups and loop groups},
author = {Masaki Kameko},
journal= {arXiv preprint arXiv:0810.1678},
year = {2008}
}
Comments
14 pages