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Algebra i logika, 2004, Volume 43, Number 2, Pages 197–219 (Mi al65)  
This article is cited in 1 scientific paper (total in 1 paper)

Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type $W_N$

P. S. Kolesnikov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: For simple conformal Lie superalgebras of type $W_N$, Gröbner–Shirshov bases of their universal enveloping associative conformal algebras are found. The universal enveloping algebras considered correspond to a minimal locality function for which there is an injective embedding.
Keywords: Gröbner–Shirshov basis, simple conformal Lie superalgebra, universal enveloping algebra, locality function.
Received: 21.03.2002
English version:
Algebra and Logic, 2004, Volume 43, Issue 2, Pages 109–122
DOI: https://doi.org/10.1023/B:ALLO.0000020848.22915.74
Bibliographic databases:
UDC: 512.554.342:512.554.558
Language: Russian
Citation: P. S. Kolesnikov, “Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type $W_N$”, Algebra Logika, 43:2 (2004), 197–219; Algebra and Logic, 43:2 (2004), 109–122
Citation in format AMSBIB
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\by P.~S.~Kolesnikov
\paper Gr\"obner--Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type $W_N$
\jour Algebra Logika
\yr 2004
\vol 43
\issue 2
\pages 197--219
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2072571}
\zmath{https://zbmath.org/?q=an:1059.17005}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 2
\pages 109--122
\crossref{https://doi.org/10.1023/B:ALLO.0000020848.22915.74}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41649109937}
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    • This publication is cited in the following 1 articles:
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    		Алгебра и логика Algebra and Logic
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