Open Access
January, 2008 The relative cohomology of formal contact vector fields with respect to formal Poisson vector fields
Masashi TAKAMURA
J. Math. Soc. Japan 60(1): 117-125 (January, 2008). DOI: 10.2969/jmsj/06010117

Abstract

We review the method due to Gel’fand and Fuks to show the finite dimensionality of the cohomology ring of the Lie algebra of formal contact vector fields. We apply this method to prove the relative cohomology of it with respect to formal Poisson vector fields is trivial.

Citation

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Masashi TAKAMURA. "The relative cohomology of formal contact vector fields with respect to formal Poisson vector fields." J. Math. Soc. Japan 60 (1) 117 - 125, January, 2008. https://doi.org/10.2969/jmsj/06010117

Information

Published: January, 2008
First available in Project Euclid: 24 March 2008

zbMATH: 1211.17018
MathSciNet: MR2392005
Digital Object Identifier: 10.2969/jmsj/06010117

Subjects:
Primary: 17B66
Secondary: 17B56

Keywords: cohomology of Lie algebras , contact structures , formal vector fields

Rights: Copyright © 2008 Mathematical Society of Japan

Vol.60 • No. 1 • January, 2008
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