{ "id": "math-ph/0205025", "version": "v2", "published": "2002-05-19T11:13:19.000Z", "updated": "2002-05-27T06:52:28.000Z", "title": "The Characteristic Class of a Lie Algebra Ideal, Contact Structures and the Poisson Algebra of Basic Functions", "authors": [ "Zakaria Giunashvili" ], "comment": "31 pages. Some misprints and inaccuracies in definitions are corrected", "categories": [ "math-ph", "math.MP", "math.SG" ], "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.", "revisions": [ { "version": "v2", "updated": "2002-05-27T06:52:28.000Z" } ], "analyses": { "subjects": [ "53D17", "58B34", "53D35" ], "keywords": [ "lie algebra ideal", "contact structure", "characteristic class", "poisson algebra", "basic functions algebra" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.ph...5025G" } } }