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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 3, Pages 546–561
DOI: https://doi.org/10.33048/smzh.2023.64.308 (Mi smj7780) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Conformal envelopes of Novikov–Poisson algebras

P. S. Kolesnikova, A. A. Nesterenkob

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (349 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2023.64.308
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.
Keywords: Novikov–Poisson algebra, conformal algebra, Gelfand–Dorfman algebra, Poisson algebra.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0002
The work was supported by the RAS Fundamental Research program (Project FWNF–2022–0002).
Received: 03.02.2023
Revised: 03.02.2023
Accepted: 06.04.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 3, Pages 598–610
DOI: https://doi.org/10.1134/S0037446623030084
Document Type: Article
UDC: 512.554
Language: Russian
Citation: P. S. Kolesnikov, A. A. Nesterenko, “Conformal envelopes of Novikov–Poisson algebras”, Sibirsk. Mat. Zh., 64:3 (2023), 546–561; Siberian Math. J., 64:3 (2023), 598–610
Citation in format AMSBIB
\Bibitem{KolNes23}
\by P.~S.~Kolesnikov, A.~A.~Nesterenko
\paper Conformal envelopes of Novikov--Poisson algebras
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 3
\pages 546--561
\mathnet{http://mi.mathnet.ru/smj7780}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 3
\pages 598--610
\crossref{https://doi.org/10.1134/S0037446623030084}
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