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

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dc.creatorSong, Guang'an
dc.creatorSu, Yucai
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:51:36Z
dc.date.available2026-07-07T06:51:36Z
dc.descriptionClassical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. Xu introduced a large category of contact simple Lie algebras which are related to locally finite derivations and are in general not finitely graded. The isomorphism classes of these Lie algebras were determined in a previous paper by Xu and Su. In this paper, the derivation algebras and the 2-cohomology groups of these Lie algebras are determined, and it is obtained that the 2-cohomology groups of these Lie algebras are all trivial.
dc.descriptionLaTeX, 15 pages
dc.identifierhttps://arxiv.org/abs/math/0511553
dc.identifierhttp://arxiv.org/abs/math/0511553
dc.identifierComm. Alg. 32 (2004), 4613-4631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105038
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject17B65
dc.titleDerivations and 2-Cocycles of Contact Lie Algebras Related to Locally-Finite Derivations
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