Finite Chevalley groups and loop groups

2008/10/09 by Masaki Kameko, Kameko, Masaki
Mathematics · #55R35 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0810.1678

openalex publication_date 2008/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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