Free differential Lie Rota-Baxter algebras and Gröbner-Shirshov bases

Abstract

We establish the Gröbner-Shirshov bases theory for differential Lie $\Omega$-algebras. As an application, we give a linear basis of a free differential Lie Rota-Baxter algebra on a set.

19 pages

References in corpus (1)

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