Transposed BiHom-Poisson algebras
Rings and Algebras
2023-01-12 v1
Abstract
In this paper, we introduce the concept of transposed BiHom-Poisson (abbr. TBP) algebras which can be constructed by the BiHom-Novikov-Poisson algebras. Several useful identities for TBP algebras are provided. We also prove that the tensor product of two (T)BP algebras are closed. The notions of BP 3-Lie algebras and TBP 3-Lie algebras are presented and TBP algebras can induce TBP 3-Lie algebras by two approaches. Finally, we give some examples for the TBP algebras of dimension 2.
Keywords
Cite
@article{arxiv.2201.00271,
title = {Transposed BiHom-Poisson algebras},
author = {Tianshui Ma and Bei Li},
journal= {arXiv preprint arXiv:2201.00271},
year = {2023}
}