From Rota-Baxter operators to quasitriangular Lie bialgebra structures on $g{l}_2(\mathbb{C})$

Abstract

In the paper we describe structures of quasitriangular Lie bialgebra on $g{l}_2(\mathbb{C})$ using the classification of Rota-Baxter operators of nonzero weight on $g{l}_2(\mathbb{C})$.