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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.
Algebras and Representation Theory – Springer Journals
Published: Aug 1, 2022
Keywords: Conformal algebra; Gröbner–Shirshov basis; 17A61; 17B35; 17B69
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