The generalized restricted representations of graded Lie algebras of Cartan type

DOI10.1006/JABR.1996.7021zbMath0885.17014OpenAlexW2031745866WikidataQ115395990 ScholiaQ115395990MaRDI QIDQ1365016

Bin Shu

Publication date: 1 November 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.7021

zbMATH Keywords

blockrepresentationgraded Lie algebra of Cartan type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

Related Items (13)

Simple modules for modular Lie superalgebras \(W(0|n)\), \(S(0|n)\), and \(K(n)\) ⋮ Cohomology of generalized restricted Lie algebras ⋮ IRREDUCIBLE REPRESENTATIONS OF THE HAMILTONIAN ALGEBRAH(2r;n) ⋮ Generalized restricted representations of the Zassenhaus superalgebras ⋮ Restricted Lie 2-algebras ⋮ On irreducible representations of the Zassenhaus superalgebras with \(p\)-characters of height 0 ⋮ ON CARTAN INVARIANTS FOR GRADED LIE ALGEBRAS OF CARTAN TYPE ⋮ Conjugation in representations of the Zassenhaus algebra ⋮ On blocks in restricted representations of Lie superalgebras of Cartan type ⋮ Simple generalized restricted modules for graded Lie algebras of Cartan type ⋮ Generalized restricted Lie algebras and representations of the Zassenhaus algebra ⋮ Representations of Cartan type Lie algebras in characteristic \(p\). ⋮ Irreducible Representations of the Generalized Jacobson-Witt Algebras

Cites Work

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• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
• Brauer-type reciprocity for a class of graded associative algebras
• Principal indecomposable representations for restricted Lie algebras of Cartan type
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• Block degeneracy and Cartan invariants for graded Lie algebras of Cartan type
• Dimensions of the simple restricted modules for the restricted contact Lie algebra
• Modular representations of classical Lie algebras and semi-simple groups
• Irreducible representations of Lie \(p\)-algebras
• Modular Representation Theory of Lie Algebras
• Simple Restricted Modules for the Restricted Contact Lie Algebras
• The graded modules for the graded contact cartan algebras
• Irreducible constituents of graded modules for graded contact lie algebras of cartan type
• Modular lie algebras of cartan type over algebraically non-closed fields. II
• The realizations of primitivep-envelopes and the support varieties for graded cartan type lie algebras

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