Weil restriction and support varieties

DOI10.1515/CRELLE.2010.083zbMath1225.20007OpenAlexW1966091791MaRDI QIDQ3081153

Eric M. Friedlander

Publication date: 11 March 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2010.083

zbMATH Keywords

complexitygroup schemesprojectivityrestricted Lie algebrasfinite Chevalley groupscohomological support varietiesWeil restriction\(\pi\)-pointsconstant Jordan typenon-maximal support varieties

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Cohomology of groups (20J06) Cohomology of Lie (super)algebras (17B56) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10) Modular Lie (super)algebras (17B50) Group schemes (14L15)

Related Items (4)

Irreducible modules for pseudo-reductive groups ⋮ First cohomology for finite groups of Lie type: Simple modules with small dominant weights ⋮ On the semisimplicity of reductions and adelic openness for 𝐸-rational compatible systems over global function fields ⋮ Geometric invariants of representations of finite groups

Cites Work

• Support varieties for restricted Lie algebras
• The varieties and the cohomology ring of a module
• On Weil restriction of reductive groups and a theorem of Prasad.
• Generic and maximal Jordan types
• \(\Pi\)-supports for modules for finite group schemes.
• Quillen stratification for modules
• The normality of closures of conjugacy classes of matrices
• Unipotent elements, tilting modules, and saturation.
• Complexity for modules over finite Chevalley groups and classical Lie algebras
• Frobenius direct images of line bundles on toric varieties
• The cohomology of restricted Lie algebras and of Hopf algebras
• On the associated graded ring of a group ring
• The spectrum of an equivariant cohomology ring. I. II
• Étale Slices for Algebraic Transformation Groups in Characteristic p
• Representation-theoretic support spaces for finite group schemes

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