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JOURNALS // Algebra i logika // Archive

Algebra Logika, 2004 Volume 43, Number 2, Pages 197–219 (Mi al65)

This article is cited 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

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.

UDC: 512.554.342:512.554.558

Received: 21.03.2002


 English version:
Algebra and Logic, 2004, 43:2, 109–122

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