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

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Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles. / Logachev, V. A.; Pozhidaev, A. P.

In: Siberian Mathematical Journal, Vol. 67, No. 3, 25.06.2026, p. 572-579.

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

BibTeX

@article{47eddbb07bec43748e9677acd9fadcda,

title = "Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles",

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.",

keywords = "512.554, Darboux polynomial, Novikov algebra, Witt double, derivation, left-symmetric algebra, pre-Lie algebra, simple algebra, Алгебра Новикова, дифференцирование, левосимметричная алгебра, простая алгебра, предлиева алгебра, алгебра Витта, двойная алгебра, многочлен Дарбу",

author = "Logachev, {V. A.} and Pozhidaev, {A. P.}",

note = "Logachev, V. A. Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles / V. A. Logachev, A. P. Pozhidaev // Siberian Mathematical Journal. – 2026. – Vol. 67, No. 3. – P. 572-579. – DOI 10.1134/S0037446626030055. – EDN PUWUZS. The research of the second author was supported by the Russian Science Foundation (project 25–41–00005).",

year = "2026",

month = jun,

day = "25",

doi = "10.1134/S0037446626030055",

language = "English",

volume = "67",

pages = "572--579",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "Pleiades Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles

AU - Logachev, V. A.

AU - Pozhidaev, A. P.

N1 - Logachev, V. A. Derivation Algebras of Finite-Dimensional Simple Novikov Algebras and Pre-Lie Witt Doubles / V. A. Logachev, A. P. Pozhidaev // Siberian Mathematical Journal. – 2026. – Vol. 67, No. 3. – P. 572-579. – DOI 10.1134/S0037446626030055. – EDN PUWUZS. The research of the second author was supported by the Russian Science Foundation (project 25–41–00005).

PY - 2026/6/25

Y1 - 2026/6/25

N2 - 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.

AB - 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.

KW - 512.554

KW - Darboux polynomial

KW - Novikov algebra

KW - Witt double

KW - derivation

KW - left-symmetric algebra

KW - pre-Lie algebra

KW - simple algebra

KW - Алгебра Новикова

KW - дифференцирование

KW - левосимметричная алгебра

KW - простая алгебра

KW - предлиева алгебра

KW - алгебра Витта

KW - двойная алгебра

KW - многочлен Дарбу

UR - https://www.mendeley.com/catalogue/4f464ff4-ddc6-38b5-a50e-1a8907eae513/

UR - https://www.scopus.com/pages/publications/105042985809

UR - https://elibrary.ru/item.asp?id=91538048

U2 - 10.1134/S0037446626030055

DO - 10.1134/S0037446626030055

M3 - Article

VL - 67

SP - 572

EP - 579

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 84797398