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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 3, Pages 75–81
DOI: https://doi.org/10.4213/faa747 (Mi faa747) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Deformations of the Infinite-Dimensional Lie Algebra $L_3$

Yu. Yu. Kochetkov

Moscow State Institute of Electronics and Mathematics
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DOI: https://doi.org/10.4213/faa747
Abstract: For the nilpotent infinite-dimensional Lie algebra $L_3$, we compute the second cohomology group $H^2(L_3,L_3)$ with coefficients in the adjoint module. Nontrivial cocycles are found in closed form, and Massey powers are computed for them.
Keywords: infinite-dimensional graded Lie algebra, homology of Lie algebra.
Received: 29.04.2005
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 3, Pages 228–233
DOI: https://doi.org/10.1007/s10688-006-0036-x
Bibliographic databases:
Document Type: Article
UDC: 512.662.1+512.818.4
Language: Russian
Citation: Yu. Yu. Kochetkov, “Deformations of the Infinite-Dimensional Lie Algebra $L_3$”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 75–81; Funct. Anal. Appl., 40:3 (2006), 228–233
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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