Universal Enveloping Algebra of an Algebra of $ n $ Compatible Lie Brackets Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2026, Volume: 67, Number: 5, Pages: 1096-1105 Pages count : 10 DOI: 10.1134/s0037446626050095 | ||||
| Tags | multiplicative universal enveloping algebra, algebra of compatible Lie brackets, growth rate, Gr¨obner–Shirshov basis | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0017 |
Abstract:
We study the (multiplicative) universal enveloping algebra in the sense of Ginzburg and Kapranov, U(g), of an algebra g with n compatible Lie brackets. Using Gr¨obner–Shirshov bases, we find a basis for thea lgebraU(g). We find the asymptotics of the growth rate of the algebra U(g)forn,dimg≫1.
Cite:
Gubarev V.Y.
, Zhang Z.
Universal Enveloping Algebra of an Algebra of $ n $ Compatible Lie Brackets
Siberian Mathematical Journal. 2026. V.67. N5. P.1096-1105. DOI: 10.1134/s0037446626050095 WOS Scopus OpenAlex
Universal Enveloping Algebra of an Algebra of $ n $ Compatible Lie Brackets
Siberian Mathematical Journal. 2026. V.67. N5. P.1096-1105. DOI: 10.1134/s0037446626050095 WOS Scopus OpenAlex
Original:
Губарев В.Ю.
, Чжан Ч.
Универсальная обертывающая алгебры n согласованных скобок ЛИ
Сибирский математический журнал. 2026. Т.67. №5. С.879-890. DOI: 10.33048/smzh.2026.67.509
Универсальная обертывающая алгебры n согласованных скобок ЛИ
Сибирский математический журнал. 2026. Т.67. №5. С.879-890. DOI: 10.33048/smzh.2026.67.509
Dates:
| Submitted: | Jul 7, 2025 |
| Accepted: | Dec 20, 2025 |
| Published print: | Sep 24, 2026 |
| Published online: | Sep 24, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001885470600007 |
| ≡ Scopus: | 2-s2.0-105051805474 |
| ≡ OpenAlex: | W7214193729 |