Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras

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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.

Original languageEnglish
JournalAlgebras and Representation Theory
DOIs
Publication statusPublished - 13 May 2021

Keywords

  • Conformal algebra
  • Gröbner–Shirshov basis

OECD FOS+WOS

  • 1.01 MATHEMATICS

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