Induction, deformation, and specialization of Lie algebra representations

DOI10.1007/BF01459255zbMath0714.17008WikidataQ115393435 ScholiaQ115393435MaRDI QIDQ1812955

Brian J. Parshall, Eric M. Friedlander

Publication date: 25 June 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164828

zbMATH Keywords

deformationdimensionsinduced charactersrestricted Lie algebrasspecializationp-divisibilitynon-restricted representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Modular Lie (super)algebras (17B50)

Related Items

Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture, On the vanishing of extensions of modules over reduced enveloping algebras, On small modules for quantum groups at roots of unity, Representations of 𝔰𝔩3 in characteristic 3, A Construction of Modular Representations of Classical Lie Algebras, Minimal-dimensional representations of reduced enveloping algebras for, Mod-\(p\) reduction for quantum groups, Modular representations of simple Lie algebras, Generalized reduced enveloping algebras for restricted Lie algebras, Complexity of representations of quantised function algebras and representation type

Cites Work

• A Mackey imprimitivity theory for algebraic groups
• The normality of closures of conjugacy classes of matrices
• The normality of closures of orbits in a Lie algebra
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Irreducible representations of Lie \(p\)-algebras
• Deformations of Lie Algebra Representations
• Modular Representation Theory of Lie Algebras
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups, II
• The Representations of Lie Algebras of Prime Characteristic
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