Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras

DOI10.1007/S10468-021-10050-0arXiv2009.12062MaRDI QIDQ6349851

R. A. Kozlov, Pavel Kolesnikov

Publication date: 25 September 2020

Abstract: We study the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level $N=3$. A standard basis of defining relations for this algebra is explicitly calculated. As a corollary, we find a linear basis of the free commutative conformal algebra relative to the locality $N=3$ on the generators.

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Vertex operators; vertex operator algebras and related structures (17B69) Gröbner-Shirshov bases in nonassociative algebras (17A61)

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