On Finite-Dimensional Simple Novikov Algebras of Characteristic p. Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 3, Pages: 680–687 Pages count : 8 DOI: 10.1134/S0037446624030169 | ||||||
| Tags | left-symmetric algebra, Novikov algebra, Lie algebra, differential simple algebra, truncated polynomial algebra | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
Let N be a nonassociative finite-dimensional simple Novikov algebra over an algebraically closed field F of characteristic p>0. Then the right multiplication algebra R is a differential simple algebra with respect to some derivation d. The algebra N is isomorphic to a Novikov algebra (R,d,Rx) for some operator of right multiplication by x and multiplication is given by u ◦ w = ud(w)+Rxuw. Moreover, the algebra R is a truncated polynomial algebra.
Cite:
Zhelyabin V.N.
, Zakharov A.S.
On Finite-Dimensional Simple Novikov Algebras of Characteristic p.
Siberian Mathematical Journal. 2024. V.65. N3. P.680–687. DOI: 10.1134/S0037446624030169 WOS Scopus РИНЦ OpenAlex
On Finite-Dimensional Simple Novikov Algebras of Characteristic p.
Siberian Mathematical Journal. 2024. V.65. N3. P.680–687. DOI: 10.1134/S0037446624030169 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Feb 5, 2024 |
| Accepted: | Apr 8, 2024 |
| Published print: | May 29, 2024 |
| Published online: | May 29, 2024 |
Identifiers:
| Web of science: | WOS:001235366000011 |
| Scopus: | 2-s2.0-85194535766 |
| Elibrary: | 67311453 |
| OpenAlex: | W4399129471 |
Citing:
| DB | Citing |
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| Scopus | 1 |