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

Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebras and Representation Theory Springer Journals

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

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References (31)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. 2021
ISSN
1386-923X
eISSN
1572-9079
DOI
10.1007/s10468-021-10050-0
Publisher site
See Article on Publisher Site

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.

Journal

Algebras and Representation TheorySpringer Journals

Published: Aug 1, 2022

Keywords: Conformal algebra; Gröbner–Shirshov basis; 17A61; 17B35; 17B69

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