Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra

Vsevolod Gubarev, Pavel Kolesnikov

Consider the class RBLie of Lie algebras equipped with a Rota---Baxter operator. Then the forgetful functor RBLie --> Lie has a left adjoint one denoted by $U_{RB}(\cdot )$. We prov…