Endotrivial modules for finite group schemes

DOI10.1515/CRELLE.2011.024zbMath1226.20039arXiv0906.3145OpenAlexW2963839175MaRDI QIDQ3002718

Carlson, Jon F., Daniel K. Nakano

Publication date: 24 May 2011

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

Full work available at URL: https://arxiv.org/abs/0906.3145

zbMATH Keywords

Picard groupsFrobenius kernelssemisimple simply connected algebraic groupsendotrivial modulesfinite group schemesinfinitesimal group schemesindecomposable tilting modulesunipotent group schemes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10) Modular Lie (super)algebras (17B50) Group schemes (14L15)

Related Items (6)

Endotrivial modules for nilpotent restricted Lie algebras ⋮ Modular representations of finite groups with trivial restriction to Sylow subgroups. ⋮ Toward a classification of endotrivial modules ⋮ Globally irreducible Weyl modules ⋮ Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results) ⋮ On endotrivial modules for Lie superalgebras

Cites Work

• Support varieties for restricted Lie algebras
• Generic and maximal Jordan types
• Affirmative answer to a question of Feit.
• Gluing representations via idempotent modules and constructing endotrivial modules.
• \(\Pi\)-supports for modules for finite group schemes.
• Irreducible modules and parabolic subgroups
• Endo-permutation modules over p-groups. I
• Endo-permutation modules over p-groups. II
• Kohomologie von p-Lie-Algebren und nilpotente Elemente. (Cohomology of p- Lie-algebras and nilpotent elements)
• On the vanishing of extensions of modules over reduced enveloping algebras
• The Dade group of a \(p\)-group.
• The classification of torsion endo-trivial modules.
• A construction of endo-permutation modules
• The group of endotrivial modules for the symmetric and alternating groups
• Picard groups in triangular geometry and applications to modular representation theory
• Representation-theoretic support spaces for finite group schemes
• GLUING TECHNIQUES IN TRIANGULAR GEOMETRY
• Torsion endo-trivial modules

This page was built for publication: Endotrivial modules for finite group schemes