Bounding the Dimensions of Rational Cohomology Groups

DOI10.1007/978-3-319-09804-3_2zbMath1320.20046arXiv1303.2752OpenAlexW1693637591MaRDI QIDQ5265280

Christopher P. Bendel, Cornelius Pillen, Caroline B. Wright, Brian J. Parshall, Daniel K. Nakano, Brian D. Boe, Christopher M. Drupieski

Publication date: 23 July 2015

Published in: Developments and Retrospectives in Lie Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2752

zbMATH Keywords

algebraic groupsrepresentation theoryfinite Chevalley groupsrational cohomology groupscohomology of symmetric groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Related Items (3)

Unnamed Item ⋮ Computation of Kazhdan-Lusztig polynomials and some applications to finite groups ⋮ Bounding cohomology for finite groups and Frobenius kernels.

Cites Work

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• \(B\)-cohomology.
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• The representation theory of the symmetric groups
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• Some new examples in 1-cohomology
• Bounding cohomology for finite groups and Frobenius kernels.
• Presentations of finite simple groups: profinite and cohomological approaches.
• Shifted generic cohomology
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• Extensions of Modules for Algebraic Groups
• WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC
• Quantum Weyl reciprocity for cohomology
• First cohomology for finite groups of Lie type: Simple modules with small dominant weights
• First cohomology groups for finite groups of Lie type in defining characteristic

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