Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras Full article
| Journal |
Algebras and Representation Theory
ISSN: 1386-923X , E-ISSN: 1572-9079 |
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| Output data | Year: 2022, Volume: 25, Number: 4, Pages: 847-867 Pages count : 21 DOI: 10.1007/s10468-021-10050-0 | ||||
| Tags | Conformal algebra; Gröbner–Shirshov basis | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
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. © 2021, The Author(s), under exclusive licence to Springer Nature B.V.
Cite:
Kolesnikov P.S.
, Kozlov R.A.
Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras
Algebras and Representation Theory. 2022. V.25. N4. P.847-867. DOI: 10.1007/s10468-021-10050-0 WOS Scopus РИНЦ OpenAlex
Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras
Algebras and Representation Theory. 2022. V.25. N4. P.847-867. DOI: 10.1007/s10468-021-10050-0 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000650310600001 |
| Scopus: | 2-s2.0-85105956652 |
| Elibrary: | 46076386 |
| OpenAlex: | W3162407403 |