L. Lavezzo

collaborators

2 papers

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.RA2022

From Rota-Baxter operators to quasitriangular Lie bialgebra structures on $g l_{2} (C)$

Maxim Goncharov

In the paper we describe structures of quasitriangular Lie bialgebra on $g l_{2} (C)$ using the classification of Rota-Baxter operators of nonzero weight on $g l_{2} (C)$ .

Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures

From Rota-Baxter operators to quasitriangular Lie bialgebra structures on gl2​(C)

From Rota-Baxter operators to quasitriangular Lie bialgebra structures on $g l_{2} (C)$