Second cohomology groups for Frobenius kernels and related structures.

DOI10.1016/j.aim.2006.05.001zbMath1178.20042OpenAlexW2115922891MaRDI QIDQ864569

Cornelius Pillen, Christopher P. Bendel, Daniel K. Nakano

Publication date: 12 February 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.05.001

zbMATH Keywords

cohomology groupsLie algebra cohomologyreductive algebraic groupsFrobenius kernelsweight space decompositions

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology of Lie (super)algebras (17B56) Cohomology theory for linear algebraic groups (20G10)

Related Items (12)

\(B\)-cohomology. ⋮ Cohomology for Frobenius kernels of \(\mathrm{SL}_2\). ⋮ The Second Cohomology of SimpleSL₃-Modules ⋮ On liftings of projective indecomposable \(G_{(1)}\)-modules ⋮ Extensions for finite Chevalley groups. III: Rational and generic cohomology. ⋮ Second cohomology for finite groups of Lie type. ⋮ On nilpotent commuting varieties and cohomology of Frobenius kernels ⋮ Cohomology of SL₂ and related structures ⋮ Second cohomology groups for algebraic groups and their Frobenius kernels. ⋮ Cohomology and generic cohomology of Specht modules for the symmetric group. ⋮ Bounding the Dimensions of Rational Cohomology Groups ⋮ Bounding cohomology for finite groups and Frobenius kernels.

Uses Software

• Magma

Cites Work

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• On the cohomology of algebraic and related finite groups
• Cohomology of induced representations for algebraic groups
• Cohomology of infinitesimal and discrete groups
• Cohomology, hyperalgebras, and representations
• Frobenius splitting of cotangent bundles of flag varieties
• Infinitesimal fixed points in modules with good filtration
• The Magma algebra system. I: The user language
• Extensions for Frobenius kernels.
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Extensions of Modules for Algebraic Groups
• A vanishing theorem for the cohomology of borel subgroups
• Cohomology of Lie Algebras and Algebraic Groups

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