Rota-Baxter operators on cocommutative Hopf algebras

Rota-Baxter operators on cocommutative Hopf algebras Full article

Journal

Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X

Output data

Year: 2021, Volume: 582, Pages: 39-56 Pages count : 18 DOI: 10.1016/j.jalgebra.2021.04.024

Tags

Cocommutative Hopf algebra; Rota-Baxter group; Rota-Baxter Lie algebra; Rota—Baxter operator

Authors

Goncharov M. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Acad. Koptyug ave. 4, Novosibirsk, Russian Federation
2	Novosibirsk State University, Pirogova str. 2, Novosibirsk, Russian Federation

Funding (1)

Russian Science Foundation

19-11-00039

In this paper, we introduce and study the notion of a Rota-Baxter operator on a cocommutative Hopf algebra that generalizes notions of a Rota-Baxter operator on a group and a Rota-Baxter operator of weight 1 on a Lie algebra. We show that every Rota-Baxter operator (of weight 1) on a Lie algebra g (resp., on a group G) can be uniquely extended to a Rota-Baxter operator on the universal enveloping algebra U(g) (resp., on the group algebra F[G]). © 2021 Elsevier Inc.

Goncharov M.
Rota-Baxter operators on cocommutative Hopf algebras
Journal of Algebra. 2021. V.582. P.39-56. DOI: 10.1016/j.jalgebra.2021.04.024 WOS Scopus OpenAlex

Web of science:	WOS:000654238900003
Scopus:	2-s2.0-85105547901
OpenAlex:	W3109599425

DB	Citing
Scopus	25
OpenAlex	20
Web of science	18