The construction and deformation of BiHom-Novikov agebras
arXiv:1712.08000 · doi:10.1016/j.geomphys.2018.06.011
Abstract
BiHom-Novikov agebra is a generalized Hom-Novikov algebra endowed with two commuting multiplicative linear maps. The main purpose of this paper is to show that two classes of BiHom-Novikov algebras can be constructed from BiHom-commutative algebras together with derivations and BiHom-Novikov algebras with Rota-Baxter operators, respectively. We show that quadratic BiHom-Novikov algebras are associative algebras and the sub-adjacent BiHom-Lie algebras of BiHom-Novikov algebras are 2-step nilpotent. Moreover, we develop the 1-parameter formal deformation theory of BiHom-Novikov algebras.
19. arXiv admin note: substantial text overlap with arXiv:1501.00229, arXiv:1204.6373 by other authors
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Cited by in corpus (10)
- Tensor products and perturbations of BiHom-Novikov-Poisson algebras
- On split regular BiHom-Leibniz superalgebras
- BiHom-Novikov algebras and infinitesimal BiHom-bialgebras
- Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras
- The constructions of 3-Hom-Lie bialgebras
- Structures of BiHom-Poisson algebras
- On split regular BiHom-Poisson superalgebras
- BiHom-Poisson color algebras
- Constructions and generalised derivations of multiplicative n-BiHom-Lie color algebras
- Representations, extensions and deformations of -BiHom-Lie algebras