Showing math.RAShow all
3 papers · 1 filter
math.RA2024
Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures
Maxim Goncharov
In the paper, we introduce the notion of a Rota-Baxter operator of a non-scalar weight. As a motivation, we show that there is a natural connection between Rota-Baxter operators of…
math.RA2020
Rota-Baxter operators on cocommutative Hopf algebras
Maxim Goncharov
We generalize the notion of a Rota-Baxter operator on groups and the notion of a Rota-Baxter operator of weight 1 on Lie algebras and define and study the notion of a Rota-Baxter o…
math.RA2019
Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras
Maxim Goncharov
We study possible connections between Rota-Baxter operators of non-zero weight and non-skew-symmetric solutions of the classical Yang-Baxter equation on finite-dimensional quadrati…