Cohomology of classifying spaces of loop groups and finite Chevalley groups associated with spin groups

DOI10.1016/j.topol.2015.05.031zbMath1333.55011arXiv1402.4594OpenAlexW968190827MaRDI QIDQ897436

Masaki Kameko

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4594

zbMATH Keywords

classifying spacecohomologyloop groupfree loop spacefinite Chevalley group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

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• Cohomology of classifying spaces of complex Lie groups and related discrete groups
• On the cohomology of free and twisted loop spaces
• Mod 2 cohomology of 2-compact groups of low rank
• On the cohomology and K-theory of the general linear groups over a finite field
• Etale Homotopy of Simplicial Schemes. (AM-104)
• The cohomology of Chevalley groups of exceptional Lie type
• The Yang-Mills equations over Riemann surfaces
• Twisted tensor products related to the cohomology of the classifying spaces of loop groups

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