Extensions for Frobenius kernels.
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Publication:1427359
DOI10.1016/j.jalgebra.2003.04.003zbMath1044.20031OpenAlexW2020680256MaRDI QIDQ1427359
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen
Publication date: 14 March 2004
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.04.003
Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)
Related Items (10)
Second cohomology groups for Frobenius kernels and related structures. ⋮ Cohomology for Frobenius kernels of \(\mathrm{SL}_2\). ⋮ On the first restricted cohomology of a reductive Lie algebra and its Borel subalgebras ⋮ First cohomology groups for finite groups of Lie type in defining characteristic ⋮ Extensions for finite Chevalley groups. III: Rational and generic cohomology. ⋮ On nilpotent commuting varieties and cohomology of Frobenius kernels ⋮ Second cohomology groups for algebraic groups and their Frobenius kernels. ⋮ On the cohomology of the Ree groups and kernels of exceptional isogenies ⋮ Shifted generic cohomology ⋮ Bounding cohomology for finite groups and Frobenius kernels.
Cites Work
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- Extensions of simple modules for finite Chevalley groups
- Cohomology of induced representations for algebraic groups
- Frobenius splitting of cotangent bundles of flag varieties
- Infinitesimal fixed points in modules with good filtration
- Extensions for finite Chevalley groups II
- Extensions of Modules for Algebraic Groups
- Cohomology of Lie Algebras and Algebraic Groups
- Support varieties for algebraic groups
- On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels
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