The graded modules for the graded contact cartan algebras

DOI10.1080/00927879408825082zbMath0809.17019OpenAlexW1965593685MaRDI QIDQ4304193

Hu, Naihong

Publication date: 20 December 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408825082

zbMATH Keywords

graded Lie algebrasgraded modulesLie algebra of Cartan typeinfinite-dimensional graded Lie algebrainfinite-dimensional graded modules

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 (9)

Simple modules for modular Lie superalgebras \(W(0|n)\), \(S(0|n)\), and \(K(n)\) ⋮ FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA ⋮ The generalized restricted representations of graded Lie algebras of Cartan type ⋮ Unnamed Item ⋮ Support varieties of semisimple-character representations for Cartan type Lie algebras ⋮ Simple generalized restricted modules for graded Lie algebras of Cartan type ⋮ \(\text{Ext}^1\)-quivers for the Witt algebra \(W(1,1)\) ⋮ Generalized restricted Lie algebras and representations of the Zassenhaus algebra ⋮ Biderivations and linear commuting maps on the restricted contact Lie algebras K(n; )

Cites Work

• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
• Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras
• Extension functors of modular Lie algebras
• The graded modules for the Poisson algebras
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