On the cohomology of finite Chevalley groups and free loop spaces of classifying spaces (Cohomology of Finite Groups and Related Topics)
Year: 1998
Type: article
Abstract: Let $p$ be a prime and $\mathrm{F}_{q}$ be the finite field with $q$ elements.Let $G_{\mathbb{Z}}$ be a Chevalley group scheme such that $\mathbb{C}$ -rational points $G_{\mathbb{Z}}(\mathrm{c})$ is a simply connected complex Lie group when we change its topology.Hereafter we denote $G_{\mathbb{Z}}(K)$ (resp.$G_{\mathbb{Z}}(\mathbb{C})$ ) by $G(K)$ (resp.$G$ ) for a field $K$ .We also denote its $\mathrm{c}\mathrm{l}\mathrm{a}\mathrm{s}\mathrm{s}\mathrm{i}\Psi$ ing space by $\mathrm{B}G$ and define the free loop space $\mathcal{L}\mathrm{B}G$ of $\mathrm{B}G$ and the loop space $\Omega \mathrm{B}G$ of $\mathrm{B}G$ by $\mathcal{L}\mathrm{B}G=\{l|l:S^{1}arrow \mathrm{B}G\}$
Author: Michishige Tezuka
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W64729256