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Inner post-Lie algebras and inner post-groups Научная публикация

Журнал

Letters in Mathematical Physics
ISSN: 0377-9017 , E-ISSN: 1573-0530

Вых. Данные

Год: 2026, Том: 116, Номер: 5, DOI: 10.1007/s11005-026-02141-0

Ключевые слова

Rota–Baxter operators, Post-Lie algebras, Post-groups, Cohomology, Central extension

Авторы

Gubarev Vsevolod ^1,3 , Li Yue ² , Sheng Yunhe ² , Wang You ²

Организации

1	Sobolev Institute of Mathematics, Acad. Koptyug ave. 4, 630090 Novosibirsk, Russia
2	Department of Mathematics, Jilin University, Changchun 130012, Jilin, China
3	Novosibirsk State University, Pirogova str. 1, 630090 Novosibirsk, Russia

Информация о финансировании (1)

Российский научный фонд

25-41-00005

In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota– Baxter operator, and show that an inner post-Lie algebra is induced by a Rota–Baxter operator if and only if the obstruction class is trivial. Similarly, we introduce the notion of the obstruction class for an inner post-group being induced by a Rota– Baxter operator, and prove a parallel result. Finally, we give some applications of inner post-Lie algebras and inner post-groups

Gubarev V. , Li Y. , Sheng Y. , Wang Y.
Inner post-Lie algebras and inner post-groups
Letters in Mathematical Physics. 2026. V.116. N5. DOI: 10.1007/s11005-026-02141-0 WOS Scopus OpenAlex

Поступила в редакцию:	25 мая 2026 г.
Принята к публикации:	17 авг. 2026 г.
Опубликована online:	28 авг. 2026 г.

≡ Web of science:	WOS:001863043200002
≡ Scopus:	2-s2.0-105048618194
≡ OpenAlex:	W7162096457