Representations associated to involutions on algebraic groups and modular Harish-Chandra modules.

DOI10.1016/j.jpaa.2004.11.012zbMath1081.20053OpenAlexW2009018949MaRDI QIDQ1779471

Terrell L. Hodge

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.012

zbMATH Keywords

semisimple algebraic groupsmodular Harish-Chandra modulessubgroup schemes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Universal enveloping (super)algebras (17B35) Semisimple Lie groups and their representations (22E46)

Related Items

Lie triple systems, restricted Lie triple systems, and algebraic groups

Cites Work

• On the tensor product theorem for algebraic groups
• Linear algebraic groups
• On the classification of \(k\)-involutions
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• Orbits, invariants, and representations associated to involutions of reductive groups
• Irreducible representations of Lie \(p\)-algebras
• On restricted roots of semi-simple algebraic groups
• On the theory of reductive algebraic groups over a perfect field
• On the Representation Theory of Lie Triple Systems
• Modular Representation Theory of Lie Algebras
• Opération de groupes réductifs dans un type de cônes presque homogènes
• Endomorphisms of linear algebraic groups
• Orbits and Representations Associated with Symmetric Spaces
• Geometric representation theory of restricted Lie algebras
• Lie triple systems, restricted Lie triple systems, and algebraic groups
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