Cartan matrices for restricted Lie algebras

DOI10.1007/s00209-013-1148-7zbMath1308.17023OpenAlexW2069866658MaRDI QIDQ379209

Jens Carsten Jantzen

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1007/s00209-013-1148-7

zbMATH Keywords

Cartan matrixreduced universal enveloping algebrarestricted Lie algebra of Cartan typesimple modulerestricted Lie algebrababy Verma moduledecomposition matrix\(p\)-characterBrauer reciprocityHumphreys reciprocityLie algebra of a reductive algebraic groupprojective indecomposable module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (1)

Cartan invariants for Witt Lie superalgebras with \(p\)-characters of height at most one

Cites Work

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• Graded Artin algebras
• Representation theory of the Witt algebra
• Block degeneracy and Cartan invariants for graded Lie algebras of Cartan type
• Dimensions of the simple restricted modules for the restricted contact Lie algebra
• Cartan invariants for the restricted toral rank two contact Lie algebra
• Simple restricted modules for the restricted Hamiltonian algebra
• Modular representations of reductive Lie algebras
• Some simple modules for the restricted Cartan-type Lie algebras
• Modular representations of classical Lie algebras and semi-simple groups
• EXTENSIONS OF THE WITT ALGEBRA AND APPLICATIONS
• Deformations of Lie Algebra Representations
• Modular Representation Theory of Lie Algebras
• Projective modules over Lie algebras of Cartan type
• Simple Restricted Modules for the Restricted Contact Lie Algebras
• ON SIMPLE MODULES FOR THE RESTRICTED LIE ALGEBRAS OF CARTAN TYPE
• ON REPRESENTATIONS OF CLASSICAL SEMISIMPLE LIE ALGEBRAS OF CHARACTERISTICp
• Simple modules with character height at most one for the restricted Witt algebras
• The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras

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