Inner post-Lie algebras and inner post-groups

Inner post-Lie algebras and inner post-groups Full article

Journal

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

Output data

Year: 2026, Volume: 116, Number: 5, DOI: 10.1007/s11005-026-02141-0

Tags

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

Authors

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

Affiliations

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

Funding (1)

Russian Science Foundation

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

Submitted:	May 25, 2026
Accepted:	Aug 17, 2026
Published online:	Aug 28, 2026

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