Conformal Envelopes of Novikov–Poisson Algebras Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 3, Pages: 598–610 Pages count : 12 DOI: 10.1134/S0037446623030084 | ||||
| Tags | Novikov–Poisson algebra, conformal algebra, Gelfand–Dorfman algebra, Poisson algebra | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
We prove that every Novikov–Poisson algebra over a field of zero characteristic can be embedded into a commutative conformal algebra with a derivation. As a corollary, we show that every commutator Gelfand–Dorfman algebra obtained from a Novikov–Poisson algebra is special, i.e., embeddable into a differential Poisson algebra.
Cite:
Kolesnikov P.S.
, Nesterenko A.A.
Conformal Envelopes of Novikov–Poisson Algebras
Siberian Mathematical Journal. 2023. V.64. N3. P.598–610. DOI: 10.1134/S0037446623030084 WOS Scopus РИНЦ OpenAlex
Conformal Envelopes of Novikov–Poisson Algebras
Siberian Mathematical Journal. 2023. V.64. N3. P.598–610. DOI: 10.1134/S0037446623030084 WOS Scopus РИНЦ OpenAlex
Original:
Колесников П.С.
, Нестеренко А.А.
Конформные обертывающие алгебр Новикова — Пуассона
Сибирский математический журнал. 2023. Т.64. №3. С.546–561. DOI: 10.33048/smzh.2023.64.308 РИНЦ
Конформные обертывающие алгебр Новикова — Пуассона
Сибирский математический журнал. 2023. Т.64. №3. С.546–561. DOI: 10.33048/smzh.2023.64.308 РИНЦ
Dates:
| Submitted: | Feb 3, 2023 |
| Accepted: | Apr 6, 2023 |
| Published print: | Jun 28, 2023 |
| Published online: | Jun 28, 2023 |
Identifiers:
| Web of science: | WOS:000996393600008 |
| Scopus: | 2-s2.0-85160241845 |
| Elibrary: | 61726205 |
| OpenAlex: | W4378071153 |