Derivations and 2-Cocycles of Contact Lie Algebras Related to Locally-Finite Derivations

DOI10.1081/AGB-200036818zbMath1069.17010arXivmath/0511553OpenAlexW2594380328MaRDI QIDQ4678704

Yucai Su, Guang'ai Song

Publication date: 23 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0511553

zbMATH Keywords

second cohomologyLie algebras of Cartan typecontact Lie algebra, derivations

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Related Items (5)

Second cohomology group of extended \(W\)-algebras ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Derivation algebra and automorphism group of generalized Ramond \(N = 2\) superconformal algebra ⋮ Central Extensions and Derivations of Generalized Schrödinger-Virasoro Algebras ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras

Cites Work

• Derivations and central extensions of finitely generated graded Lie algebras
• New simple infinite-dimensional Lie algebras of characteristic 0
• Structure of contact Lie algebras related to locally-finite derivations
• Quadratic conformal superalgebras
• Derivation-simple algebras and the structures of Lie algebras of Witt type
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• Generalized cartan type k lie algebras in characteristic 0
• Lie superalgebras

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