Differential envelopes of Novikov conformal algebras Full article
| Journal |
International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500 |
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| Output data | Year: 2025, DOI: 10.1142/s0218196725500262 | ||||
| Tags | Novikov algebra, conformal algebra, derivation, embedding | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 25-41-00005 |
Abstract:
A Novikov conformal algebra is a conformal algebra such that its coefficient algebra is right-symmetric and left commutative (i.e., it is an “ordinary” Novikov algebra). We prove that every Novikov conformal algebra with a uniformly bounded locality function on a set of generators can be embedded into a commutative conformal algebra with a derivation. In particular, every finitely generated Novikov conformal algebra has a commutative conformal differential envelope. For infinitely generated algebras this statement is not true in general.
Cite:
Kolesnikov P.S.
, Nesterenko A.A.
Differential envelopes of Novikov conformal algebras
International Journal of Algebra and Computation. 2025. DOI: 10.1142/s0218196725500262 WOS Scopus OpenAlex
Differential envelopes of Novikov conformal algebras
International Journal of Algebra and Computation. 2025. DOI: 10.1142/s0218196725500262 WOS Scopus OpenAlex
Dates:
| Submitted: | Apr 20, 2025 |
| Accepted: | Jun 2, 2025 |
| Published online: | Jul 1, 2025 |
Identifiers:
| Web of science: | WOS:001519784000001 |
| Scopus: | 2-s2.0-105009479491 |
| OpenAlex: | W4411295862 |
Citing:
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