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The Characteristic Class of a Lie Algebra Ideal, Contact Structures and the Poisson Algebra of Basic Functions

Zakaria Giunashvili

Published 2002-05-19, updated 2002-05-27Version 2

Some cohomology classes associated with an ideal in a Lie algebra, a Poisson structure on the basic functions algebra of contact structure, its Poisson cohomology and geometric (pre)quantization are considered from the algebraic point of view.

Comments: 31 pages. Some misprints and inaccuracies in definitions are corrected
Categories: math-ph, math.MP, math.SG
Subjects: 53D17, 58B34, 53D35
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