Constructions for infinitesimal group schemes

DOI10.1090/S0002-9947-2011-05330-4zbMath1241.20051arXiv0802.2918MaRDI QIDQ3103246

Julia Pevtsova, Eric M. Friedlander

Publication date: 7 December 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2918

zbMATH Keywords

cohomology ringsFrobenius kernelssupport varietiescoordinate algebrasinfinitesimal group schemesnilpotent operatorsfinite-dimensional modulesJordan typespi-points

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of associative Artinian rings (16G10) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15)

Related Items (17)

Support varieties and stable categories for algebraic groups ⋮ Vector bundles associated to Lie algebras ⋮ Modules of constant Jordan type, pullbacks of bundles and generic kernel filtrations ⋮ Derived invariance of support varieties ⋮ Endotrivial modules for nilpotent restricted Lie algebras ⋮ Modules of constant Jordan type and a conjecture of Rickard. ⋮ Computations of sheaves associated to the representation theory of \(\mathfrak{sl}_2\) ⋮ Representations of elementary Abelian \(p\)-groups and bundles on Grassmannians. ⋮ Modules of constant Jordan type with two non-projective blocks. ⋮ Modules of constant Jordan type with small non-projective part. ⋮ Free \((\mathbb{Z} / p)^n\)-complexes and \(p\)-DG modules ⋮ Spectrum of group cohomology and support varieties ⋮ Elementary subalgebras of Lie algebras ⋮ Detecting projectivity in sheaves associated to representations of infinitesimal groups ⋮ A realization theorem for modules of constant Jordan type and vector bundles ⋮ Geometric invariants of representations of finite groups ⋮ Support varieties for rational representations

Cites Work

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• Über Untergruppen endlicher algebraischer Gruppen
• A realization theorem for modules of constant Jordan type and vector bundles
• Modular Representation Theory of Lie Algebras
• Infinitesimal 1-parameter subgroups and cohomology
• Representation-theoretic support spaces for finite group schemes
• Exact Category of Modules of Constant Jordan Type
• Modules of constant Jordan type
• Introduction to Lie Algebras and Representation Theory
• Abelian unipotent subgroups of reductive groups
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