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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 2, Pages 179–196
DOI: https://doi.org/10.4213/tmf228 (Mi tmf228) 		 
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
Full-text PDF (317 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf228
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
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 2, Pages 1049–1065
DOI: https://doi.org/10.1023/A:1025024803020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Cohomology of a Poisson Algebra”, TMF, 136:2 (2003), 179–196; Theoret. and Math. Phys., 136:2 (2003), 1049–1065
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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