From Rota-Baxter operators to quasitriangular Lie bialgebra structures on gl2(C)gl_2(\mathbb C)

Abstract

In the paper we describe structures of quasitriangular Lie bialgebra on gl2(C)gl_2(\mathbb C) using the classification of Rota-Baxter operators of nonzero weight on gl2(C)gl_2(\mathbb C)

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