Structure of Contact Lie Algebras Related to Locally-Finite Derivations
نویسندگان
چکیده
Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. In this paper, we determine the structure of the currently largest known category of contact simple Lie algebras introduced earlier by the second author. These algebras are in general not finitely-graded.
منابع مشابه
N ov 2 00 5 Derivations and 2 - Cocycles of Contact Lie Algebras Related to Locally - Finite Derivations
Abstract. Classical 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 pape...
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