Standard bases for the universal associative conformal envelopes of Kac-Moody conformal algebras (Q2149531)

In this paper the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level \(N = 3\) has been studied. The authors consider defining relations in a conformal algebra as rewriting rules on a module over an appropriate associative algebra and use Gröbner-Shirshov bases for associative conformal algebras in order to show embeddability of a Lie conformal algebra into its universal enveloping associative conformal algebra.