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arXiv · 2009.12062

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

P. S. Kolesnikov·R. A. Kozlov
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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.

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P. S. Kolesnikov, R. A. Kozlov. 2020-09-25. Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras. https://doi.org/10.1007/s10468-021-10050-0

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