2 papers
math.RA2025
Reynolds Lie bialgebras
Shuai Hou, Maxim Goncharov
In this paper, we establish a bialgebra theory for Reynolds Lie algebras. First we introduce the notion of a quadratic Reynolds Lie algebra and show that it induces an isomorphism…
math-ph2024
Formal integration of complete Rota-Baxter Lie algebras
Maxim Goncharov, Pavel Kolesnikov, Yunhe Sheng +1
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 complet…