TY - JOUR

T1 - Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras

AU - Kolesnikov, P. S.

AU - Kozlov, R. A.

N1 - Funding Information: The work is supported by Mathematical Center in Akademgorodok. Acknowledgements Funding Information: The work is supported by the Mathematical Center in Akademgorodok (agreement 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation). Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2022/8

Y1 - 2022/8

N2 - 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.

AB - 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.

KW - Conformal algebra

KW - Gröbner–Shirshov basis

UR - http://www.scopus.com/inward/record.url?scp=85105956652&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/a6d647db-2b1d-369a-85a9-099caec0d027/

U2 - 10.1007/s10468-021-10050-0

DO - 10.1007/s10468-021-10050-0

M3 - Article

AN - SCOPUS:85105956652

VL - 25

SP - 847

EP - 867

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

SN - 1386-923X

IS - 4

ER -