SECOND COHOMOLOGY GROUP OF GENERALIZED WITT TYPE LIE ALGEBRAS AND CERTAIN REPRESENTATIONS

DOI10.1081/AGB-120004488zbMath1043.17012OpenAlexW2039260586MaRDI QIDQ3146316

Yucai Su, Kaiming Zhao

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120004488

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56)

Related Items (22)

Structures of a class of deformative super W-algebras ⋮ 2-Cocycles of Twisted Deformative Schrödinger–Virasoro Algebras ⋮ Derivations and Automorphism Group of Completed Witt Lie Algebra ⋮ Lie bialgebras of generalized Witt type ⋮ Low-dimensional cohomology of \(q\)-deformed Heisenberg-Virasoro algebra of Hom-type ⋮ Derivations and Automorphism Group of Original Deformative Schrödinger-Virasoro Algebra ⋮ Second cohomology group of extended \(W\)-algebras ⋮ 2-Cocycles of the Lie Superalgebras of Weyl Type ⋮ Structures of Generalized Loop Virasoro Algebras ⋮ Representations for the Nongraded Virasoro-Like Algebra ⋮ Simple algebras of Weyl type, II ⋮ Isomorphism classes and automorphism groups of algebras of Weyl type ⋮ Some representations of nongraded Lie algebras of generalized Witt type ⋮ Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras ⋮ Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b) ⋮ Simple Deformed Witt Algebras ⋮ WEYL TYPE ALGEBRAS FROM QUANTUM TORI ⋮ 2-cocycles of original deformative Schrödinger-Virasoro algebras ⋮ Structures of Not-finitely Graded Lie Algebras Related to Generalized Virasoro Algebras ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules ⋮ Structures of generalized loop super-Virasoro algebras ⋮ Lie bialgebras of generalized loop Virasoro algebras

Cites Work

• New simple infinite-dimensional Lie algebras of characteristic 0
• Simple Lie algebras of Witt type
• Generalized Cartan type \(W\) Lie algebras in characteristic zero
• On the simplicity of Lie algebras of derivations of commutative algebras
• Derivation-simple algebras and the structures of Lie algebras of Witt type
• Isomorphisms Between Generalized Cartan Type W Lie Algebras in Characteristic 0
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras

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