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Structure of Contact Lie Algebras Related to Locally-Finite Derivations

2001/08/13 by Yucai Su, Xiaoping Xu, Su, Yucai +1
Mathematics · #17B65 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B65

paper · pdf · doi:10.48550/arxiv.math/0108087

Latex file, 35pages

arxiv created 2001/08/13 · arxiv updated 2009/11/30

Abstract

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.

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