Support varieties for Frobenius kernels of classical groups.

DOI10.1016/j.jpaa.2012.03.033zbMath1262.20051arXiv1201.2734OpenAlexW2122753987MaRDI QIDQ1940199

Paul Sobaje

Publication date: 6 March 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2734

zbMATH Keywords

distribution algebrasblockssimple modulesFrobenius kernelssimple algebraic groupssupport varieties

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45) Group schemes (14L15)

Related Items (6)

Support varieties and stable categories for algebraic groups ⋮ Mixed commuting varieties over nilpotent matrices ⋮ Support varieties of line bundle cohomology groups for \(SL_3(k)\). ⋮ On nilpotent commuting varieties and cohomology of Frobenius kernels ⋮ Exponentiation of commuting nilpotent varieties ⋮ Support varieties for rational representations

Cites Work

• Differentiating the Weyl generic dimension formula with applications to support varieties
• Cohomology of finite group schemes over a field
• Restrictions to G(𝔽_p) and G_(r) of rational G-modules
• Support Varieties of Weyl Modules
• A Bound on the Complexity for G r T Modules
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• Support varieties for algebraic groups
• Representation-theoretic support spaces for finite group schemes
• Support varieties for modules over Chevalley groups and classical Lie algebras
• Introduction to Lie Algebras and Representation Theory
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