Spectrum of group cohomology and support varieties

DOI10.1017/is011012012jkt206zbMath1297.20055OpenAlexW2147380054MaRDI QIDQ5397678

Eric M. Friedlander

Publication date: 24 February 2014

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ce9467c39455ed2702b17d1c8515c29056eabf34

zbMATH Keywords

cohomology ringsgroup cohomologyequivariant cohomologymodular representationselementary Abelian subgroupscohomological support varietiesfinite group schemesrank varieties

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Cohomology of groups (20J06) Cohomology of Lie (super)algebras (17B56) Cohomology theory for linear algebraic groups (20G10) Modular Lie (super)algebras (17B50) Group schemes (14L15)

Related Items (1)

Support varieties for rational representations

Cites Work

• Support varieties for restricted Lie algebras
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• The variety of an indecomposable module is connected
• Generic and maximal Jordan types
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• Equivariant \(K\)-theory and completion
• Groups with no odd dimensional cohomology
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• A cohomological criterion for p-nilpotence
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• A realization theorem for modules of constant Jordan type and vector bundles
• Constructions for infinitesimal group schemes
• Infinitesimal 1-parameter subgroups and cohomology
• Generalized group characters and complex oriented cohomology theories

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