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This article is cited in 8 scientific papers (total in 8 papers)
Cohomology of a Poisson Algebra
V. V. Zharinov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We propose a technique for calculating the cohomology of a Poisson algebra using the Laplace transformation of distributions with compact support. We find the lowest-order cohomologies of this algebra with coefficients in two natural representations: the trivial and the adjoint representations.
Keywords:
Lie algebras, Poisson algebras, cohomology.
Received: 15.12.2002
Citation:
V. V. Zharinov, “Cohomology of a Poisson Algebra”, TMF, 136:2 (2003), 179–196; Theoret. and Math. Phys., 136:2 (2003), 1049–1065
Linking options:
https://www.mathnet.ru/eng/tmf228https://doi.org/10.4213/tmf228 https://www.mathnet.ru/eng/tmf/v136/i2/p179
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Abstract page: | 578 | Full-text PDF : | 257 | References: | 83 | First page: | 3 |
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