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On Finite-Dimensional Simple Novikov Algebras of Characteristic. / Zhelyabin, V. N.; Zakharov, A. S.

In: Siberian Mathematical Journal, Vol. 65, No. 3, 05.2024, p. 680-687.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhelyabin, VN & Zakharov, AS 2024, 'On Finite-Dimensional Simple Novikov Algebras of Characteristic', Siberian Mathematical Journal, vol. 65, no. 3, pp. 680-687. https://doi.org/10.1134/S0037446624030169

APA

Zhelyabin, V. N., & Zakharov, A. S. (2024). On Finite-Dimensional Simple Novikov Algebras of Characteristic. Siberian Mathematical Journal, 65(3), 680-687. https://doi.org/10.1134/S0037446624030169

Vancouver

Zhelyabin VN, Zakharov AS. On Finite-Dimensional Simple Novikov Algebras of Characteristic. Siberian Mathematical Journal. 2024 May;65(3):680-687. doi: 10.1134/S0037446624030169

Author

Zhelyabin, V. N. ; Zakharov, A. S. / On Finite-Dimensional Simple Novikov Algebras of Characteristic. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 3. pp. 680-687.

BibTeX

@article{58d10cde697847c49687877a4ae2c27d,
title = "On Finite-Dimensional Simple Novikov Algebras of Characteristic",
abstract = "Let be a nonassociative finite-dimensional simple Novikovalgebra over an algebraically closed field of characteristic. Thenthe right multiplication algebra is a differential simple algebrawith respect to some derivation. The algebra is isomorphicto a Novikov algebra for some operator of right multiplication by and multiplicationis given by.Moreover, the algebra is a truncated polynomial algebra.",
keywords = "512.554.7, Lie algebra, Novikov algebra, differential simple algebra, left-symmetric algebra, truncated polynomial algebra",
author = "Zhelyabin, {V. N.} and Zakharov, {A. S.}",
note = "The work was supported by the Fundamental Research Program of the Russian Academy of Sciences (Project FWNF–2022–0002).",
year = "2024",
month = may,
doi = "10.1134/S0037446624030169",
language = "English",
volume = "65",
pages = "680--687",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "3",

}

RIS

TY - JOUR

T1 - On Finite-Dimensional Simple Novikov Algebras of Characteristic

AU - Zhelyabin, V. N.

AU - Zakharov, A. S.

N1 - The work was supported by the Fundamental Research Program of the Russian Academy of Sciences (Project FWNF–2022–0002).

PY - 2024/5

Y1 - 2024/5

N2 - Let be a nonassociative finite-dimensional simple Novikovalgebra over an algebraically closed field of characteristic. Thenthe right multiplication algebra is a differential simple algebrawith respect to some derivation. The algebra is isomorphicto a Novikov algebra for some operator of right multiplication by and multiplicationis given by.Moreover, the algebra is a truncated polynomial algebra.

AB - Let be a nonassociative finite-dimensional simple Novikovalgebra over an algebraically closed field of characteristic. Thenthe right multiplication algebra is a differential simple algebrawith respect to some derivation. The algebra is isomorphicto a Novikov algebra for some operator of right multiplication by and multiplicationis given by.Moreover, the algebra is a truncated polynomial algebra.

KW - 512.554.7

KW - Lie algebra

KW - Novikov algebra

KW - differential simple algebra

KW - left-symmetric algebra

KW - truncated polynomial algebra

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85194535766&origin=inward&txGid=d7f0c34d77155fb36ee9687410a18937

UR - https://www.mendeley.com/catalogue/5fbaa822-4e81-3ae5-8a0c-267c54fb8271/

U2 - 10.1134/S0037446624030169

DO - 10.1134/S0037446624030169

M3 - Article

VL - 65

SP - 680

EP - 687

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 61042592