@article{3bd09962efa740b3898d284cf7d3b576,

title = "Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras",

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.",

keywords = "Conformal algebra, Gr{\"o}bner–Shirshov basis",

author = "Kolesnikov, {P. S.} and Kozlov, {R. A.}",

note = "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: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

month = may,

day = "13",

doi = "10.1007/s10468-021-10050-0",

language = "English",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

}