Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion | Sciact - Система учета научной деятельности ИМ СО РАН

Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion Научная публикация

Журнал

Selecta Mathematica, New Series
ISSN: 1022-1824 , E-ISSN: 1420-9020

Вых. Данные

Год: 2026, Том: 32, Номер: 2, DOI: 10.1007/s00029-026-01128-y

Ключевые слова

Rota-Baxter Lie algebra · Post-Lie algebra · Formal integration · Rota-Baxter group · Brace · Magnus expansion

Авторы

Goncharov Maxim ¹ , Kolesnikov Pavel ¹ , Sheng Yunhe ² , Tang Rong ²

Организации

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

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0017

In this paper, first we revisit the formal integration of Lie algebras, which give rise to braces in some special cases. Then we establish the formal integration theory for complete Rota-Baxter Lie algebras, that is, we show that there is a Rota-Baxter group with the underlying group structure given by the Baker-Campbell-Hausdorff formula, associated to any complete Rota-Baxter Lie algebra. In particular, we use the post-Lie Magnus expansion to give the explicit formula of the Rota-Baxter operator. Finally we show that one can obtain a graded Rota-Baxter Lie ring from a filtered Rota-Baxter group.

Goncharov M. , Kolesnikov P. , Sheng Y. , Tang R.
Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion
Selecta Mathematica, New Series. 2026. V.32. N2. DOI: 10.1007/s00029-026-01128-y WOS Scopus OpenAlex

Поступила в редакцию:	24 окт. 2024 г.
Принята к публикации:	22 нояб. 2025 г.
Опубликована online:	10 февр. 2026 г.

Web of science:	WOS:001685887200001
Scopus:	2-s2.0-105029729548
OpenAlex:	W4394867896

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