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Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type WN
Authors:P. S. Kolesnikov
Affiliation:(1) Institute of Mathematics SB RAS, Akademika Koptyuga Prospekt, 4, Novosibirsk, 630090, Russia
Abstract:For simple conformal Lie superalgebras of type WN, 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:Grö  bner–  Shirshov basis  simple conformal Lie superalgebra  universal enveloping algebra  locality function
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