Grobner Shirshov Basis of the Universal Enveloping Rota-Baxter Algebra of a Lie Algebra

Research output: Contribution to journalArticlepeer-review

Abstract

We consider Lie algebras equipped with a Rota Baxter operator. The forgetful functor from this category to the category of Lie algebras has a left adjoint one denoted by U-RB. We prove an operator analogue of the Poincare-Birkhoff-Witt theorem for U-RB by means of Grobner-Shirshov bases theory for Lie algebras with an additional operator.

Original languageEnglish
Pages (from-to)887-905
Number of pages19
JournalJournal of Lie Theory
Volume27
Issue number3
Publication statusPublished - 2017

Keywords

  • Rota-Baxter operator
  • free Lie algebra
  • universal envelope
  • DENDRIFORM ALGEBRAS
  • BASES
  • SYSTEMS

Fingerprint

Dive into the research topics of 'Grobner Shirshov Basis of the Universal Enveloping Rota-Baxter Algebra of a Lie Algebra'. Together they form a unique fingerprint.

Cite this