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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 2, Pages 13–19
DOI: https://doi.org/10.4213/faa3 (Mi faa3) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Homology of the Lie Algebra of Vector Fields on the Line with Coefficients in Symmetric Powers of its Adjoint Representation

V. V. Dotsenko

Independent University of Moscow
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DOI: https://doi.org/10.4213/faa3
Abstract: We compute the homology of the Lie algebra $W_1$ of (polynomial) vector fields on the line with coefficients in symmetric powers of its adjoint representation. We also list the results obtained so far for the homology with coefficients in tensor powers and, in turn, use them for partially computing the homology of the Lie algebra of $W_1$-valued currents on the line.
Received: 08.02.2005
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 2, Pages 91–96
DOI: https://doi.org/10.1007/s10688-006-0015-2
Bibliographic databases:
Document Type: Article
UDC: 512.664.3
Language: Russian
Citation: V. V. Dotsenko, “Homology of the Lie Algebra of Vector Fields on the Line with Coefficients in Symmetric Powers of its Adjoint Representation”, Funktsional. Anal. i Prilozhen., 40:2 (2006), 13–19; Funct. Anal. Appl., 40:2 (2006), 91–96
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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