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Algebra i logika, 2007, Volume 46, Number 6, Pages 688–706 (Mi al321)  
This article is cited in 18 scientific papers (total in 18 papers)

Hochschild cohomologies for associative conformal algebras

I. A. Dolguntseva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (201 kB) Citations (18)
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Abstract: We introduce the concept of Hochschild cohomologies for associative conformal algebras. It is shown that the second cohomology group of a conformal Weyl algebra with values in any bimodule is trivial. As a consequence, we derive that the conformal Weyl algebra is segregated in any extension with nilpotent kernel.
Keywords: conformal algebra, cohomology group, Weyl algebra.
Received: 22.01.2007
English version:
Algebra and Logic, 2007, Volume 46, Issue 6, Pages 373–384
DOI: https://doi.org/10.1007/s10469-007-0037-8
Bibliographic databases:
UDC: 512.664.2
Language: Russian
Citation: I. A. Dolguntseva, “Hochschild cohomologies for associative conformal algebras”, Algebra Logika, 46:6 (2007), 688–706; Algebra and Logic, 46:6 (2007), 373–384
Citation in format AMSBIB
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\pages 373--384
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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