Restrictions to G(𝔽p) and G(r) of rational G-modules

DOI10.1112/S0010437X11005562zbMath1243.20057OpenAlexW2314180569MaRDI QIDQ3107323

Eric M. Friedlander

Publication date: 23 December 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x11005562

zbMATH Keywords

reductive algebraic groupsrational modulesChevalley groupsFrobenius kernelsrestrictionssupport varietiesFrobenius twists

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (5)

Unipotent elements and generalized exponential maps ⋮ Filtrations, 1-parameter subgroups, and rational injectivity ⋮ Support varieties for Frobenius kernels of classical groups. ⋮ Geometric invariants of representations of finite groups ⋮ Support varieties for rational representations

Cites Work

• On Weil restriction of reductive groups and a theorem of Prasad.
• Generic and maximal Jordan types
• \(\Pi\)-supports for modules for finite group schemes.
• On the semisimplicity of tensor products of representations of groups
• Cohomology of finite group schemes over a field
• Unipotent elements, tilting modules, and saturation.
• Complexity for modules over finite Chevalley groups and classical Lie algebras
• \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
• The spectrum of an equivariant cohomology ring. I. II
• Étale Slices for Algebraic Transformation Groups in Characteristic p
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• Representation-theoretic support spaces for finite group schemes

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