The Characteristic Class of a Lie Algebra Ideal, Contact Structures and the Poisson Algebra of Basic Functions
Mathematical Physics
2007-05-23 v2 math.MP
Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0205025,
title = {The Characteristic Class of a Lie Algebra Ideal, Contact Structures and the Poisson Algebra of Basic Functions},
author = {Zakaria Giunashvili},
journal= {arXiv preprint arXiv:math-ph/0205025},
year = {2007}
}
Comments
31 pages. Some misprints and inaccuracies in definitions are corrected