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Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets. / Gubarev, V. Yu; Zhang, Z.

в: Siberian Mathematical Journal, Том 67, № 5, 24.09.2026, стр. 1096-1105.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gubarev, VY & Zhang, Z 2026, 'Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets', Siberian Mathematical Journal, Том. 67, № 5, стр. 1096-1105. https://doi.org/10.1134/S0037446626050095

APA

Gubarev, V. Y., & Zhang, Z. (2026). Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets. Siberian Mathematical Journal, 67(5), 1096-1105. https://doi.org/10.1134/S0037446626050095

Vancouver

Gubarev VY, Zhang Z. Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets. Siberian Mathematical Journal. 2026 сент. 24;67(5):1096-1105. doi: 10.1134/S0037446626050095

Author

Gubarev, V. Yu ; Zhang, Z. / Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets. в: Siberian Mathematical Journal. 2026 ; Том 67, № 5. стр. 1096-1105.

BibTeX

@article{d96e3a41fd3c4b8b8a18ad9676882d4d,
title = "Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets",
abstract = "We study the (multiplicative) universal enveloping algebra in the sense of Ginzburg and Kapranov,, of an algebra with compatible Lie brackets.Using Gr{\"o}bner–Shirshov bases, we find a basis for the algebra.We find the asymptotics of the growth rate of the algebra for,.",
keywords = "Gr{\"o}bner–Shirshov basis, algebra of compatible Lie brackets, growth rate, multiplicative universal enveloping algebra, мультипликативная универсальная обертывающая алгебра, алгебра совместимых скобок Ли, темп роста, базис Гробнера-Ширшова",
author = "Gubarev, {V. Yu} and Z. Zhang",
note = "Gubarev, V.Y., Zhang, Z. Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets. Sib Math J 67, 1096–1105 (2026). https://doi.org/10.1134/S0037446626050095 The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (project FWNF–2026–0017)",
year = "2026",
month = sep,
day = "24",
doi = "10.1134/S0037446626050095",
language = "English",
volume = "67",
pages = "1096--1105",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets

AU - Gubarev, V. Yu

AU - Zhang, Z.

N1 - Gubarev, V.Y., Zhang, Z. Universal Enveloping Algebra of an Algebra of Compatible Lie Brackets. Sib Math J 67, 1096–1105 (2026). https://doi.org/10.1134/S0037446626050095 The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (project FWNF–2026–0017)

PY - 2026/9/24

Y1 - 2026/9/24

N2 - We study the (multiplicative) universal enveloping algebra in the sense of Ginzburg and Kapranov,, of an algebra with compatible Lie brackets.Using Gröbner–Shirshov bases, we find a basis for the algebra.We find the asymptotics of the growth rate of the algebra for,.

AB - We study the (multiplicative) universal enveloping algebra in the sense of Ginzburg and Kapranov,, of an algebra with compatible Lie brackets.Using Gröbner–Shirshov bases, we find a basis for the algebra.We find the asymptotics of the growth rate of the algebra for,.

KW - Gröbner–Shirshov basis

KW - algebra of compatible Lie brackets

KW - growth rate

KW - multiplicative universal enveloping algebra

KW - мультипликативная универсальная обертывающая алгебра

KW - алгебра совместимых скобок Ли

KW - темп роста

KW - базис Гробнера-Ширшова

UR - https://www.mendeley.com/catalogue/ec1c1bb1-ad92-3f97-83e9-9b452d92339d/

UR - https://www.scopus.com/pages/publications/105051805474

U2 - 10.1134/S0037446626050095

DO - 10.1134/S0037446626050095

M3 - Article

VL - 67

SP - 1096

EP - 1105

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 83404580