Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras

Bibhash Mondal, Ripan Saha

A Rota-Baxter Leibniz algebra is a Leibniz algebra $(\mathfrak{g},[,{]}_{\mathfrak{g}})$ equipped with a Rota-Baxter operator $T:\mathfrak{g}\to \mathfrak{g}$. We define…