Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms

Apurba Das, Samir Kumar Hazra, Satyendra Kumar Mishra

A Rota-Baxter Lie algebra ${\mathfrak{g}}_T$ is a Lie algebra $\mathfrak{g}$ equipped with a Rota-Baxter operator $T:\mathfrak{g}\to \mathfrak{g}$. In this paper, we consi…