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Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2026, Volume: 67, Number: 3, Pages: 572-579 Pages count : 8 DOI: 10.1134/s0037446626030055
Tags Novikov algebra, derivation, left-symmetric algebra, simple algebra, pre-Lie algebra, Witt double, Darboux polynomial
Authors Logachev V.A. 1 , Pozhidaev A.P. 2
Affiliations
1 Novosibirsk State University, Novosibirsk, Russia
2 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Russian Science Foundation 25-41-00005

Abstract: We describe derivations of finite-dimensional simple Novikov algebras and pre-Lie Witt doubles over an algebraically closed field of positive characteristic in terms of special derivations of the underlying associative commutative differentially simple algebras.
Cite: Logachev V.A. , Pozhidaev A.P.
Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles
Siberian Mathematical Journal. 2026. V.67. N3. P.572-579. DOI: 10.1134/s0037446626030055 WOS Scopus РИНЦ OpenAlex
Original: Логачев В.А. , Пожидаев А.П.
Дифференцирования простых алгебр Новикова и дублей Витта
Сибирский математический журнал. 2026. Т.67. №3. С.444-452. DOI: 10.33048/smzh.2026.67.305
Dates:
Submitted: Oct 24, 2025
Accepted: Feb 18, 2026
Published print: Jun 25, 2026
Published online: Jun 25, 2026
Identifiers:
≡ Web of science: WOS:001805258500010
≡ Scopus: 2-s2.0-105042985809
≡ Elibrary: 91538048
≡ OpenAlex: W7165891480
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