BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras

Abstract

We investigate some properties of Rota-Baxter operators on BiHom-Lie algebras. Along the way, we introduce BiHom analogues of pre-Lie and Leibniz algebras.

18 pages. The content of this paper was part of the first version of arXiv:math.QA/1703.07275. In v2 we added a short section about BiHom-PostLie algebras

References in corpus (4)

• Hopf Algebras, Renormalization and Noncommutative Geometry
• Deformations of Lie Algebras using $\sigma$-derivations
• Homology of generalized partition posets
• Rota-Baxter operators on BiHom-associative algebras and related structures

Cited by in corpus (9)

• The construction and deformation of BiHom-Novikov agebras
• Rota-Baxter operators on BiHom-associative algebras and related structures
• Tensor products and perturbations of BiHom-Novikov-Poisson algebras
• On split regular BiHom-Leibniz superalgebras
• Cohomology and linear deformation of BiHom-left-symmetric algebras
• Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras
• Nonhomogeneous associative Yang-Baxter equations
• {sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation
• On split regular BiHom-Poisson superalgebras