Irreducible Representations of the Generalized Jacobson-Witt Algebras

DOI10.1142/S1005386712000041zbMath1242.17012MaRDI QIDQ2880063

Yu-Feng Yao, Bin Shu

Publication date: 12 April 2012

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

Full work available at URL: http://worldscinet.com/ac/19/1901/S1005386712000041.html

zbMATH Keywords

de Rham complexdimension formulaCartan type Lie algebrairreducible modulegeneralized restricted Lie algebraexceptional module\((R,L)\)-modulegeneralized \(p\)-charactergeneralized Jacobson-Witt algebrageneralized reduced universal enveloping algebraheight of a generalized \(p\)-charactermodified induced modulenumber of isomorphism classes of irreducible modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

Related Items (5)

On Chevalley restriction theorem for semi-reductive algebraic groups and its applications ⋮ Support varieties of semisimple-character representations for Cartan type Lie algebras ⋮ On irreducible representations of the Zassenhaus superalgebras with \(p\)-characters of height 0 ⋮ ON CARTAN INVARIANTS FOR GRADED LIE ALGEBRAS OF CARTAN TYPE ⋮ Local properties of Jacobson-Witt algebras

Cites Work

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• Extension functors of modular Lie algebras
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• Representations of the Witt algebra
• Generalized restricted Lie algebras and representations of the Zassenhaus algebra
• The generalized restricted representations of graded Lie algebras of Cartan type
• Representations of the restricted Lie algebras of Cartan type
• Über Wittsche Lie-Ringe
• IRREDUCIBLE REPRESENTATIONS OF THE HAMILTONIAN ALGEBRAH(2r;n)
• Simple modules with character height at most one for the restricted Witt algebras
• Conjugation in representations of the Zassenhaus algebra

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