Structure of Contact Lie Algebras Related to Locally-Finite Derivations

Mathematics – Quantum Algebra

Scientific paper

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Latex file, 35pages

Scientific paper

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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