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June 2009 The Cohomology of the Lie Algebras of Formal Poisson Vector Fields and Laplace Operators
Masashi TAKAMURA
Tokyo J. Math. 32(1): 105-111 (June 2009). DOI: 10.3836/tjm/1249648412

Abstract

We review a Laplace operator on the cochain complex of the Lie algebra of the formal Poisson vector fields to obtain an analogy of the Hodge theorem for its cohomology. We present intermediate results of the computation on the plane.

Citation

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Masashi TAKAMURA. "The Cohomology of the Lie Algebras of Formal Poisson Vector Fields and Laplace Operators." Tokyo J. Math. 32 (1) 105 - 111, June 2009. https://doi.org/10.3836/tjm/1249648412

Information

Published: June 2009
First available in Project Euclid: 7 August 2009

zbMATH: 1248.17018
MathSciNet: MR2541157
Digital Object Identifier: 10.3836/tjm/1249648412

Subjects:
Primary: 17B66
Secondary: 17B56

Rights: Copyright © 2009 Publication Committee for the Tokyo Journal of Mathematics

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Vol.32 • No. 1 • June 2009
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