论文标题
转置Bihom-Poisson代数
Transposed BiHom-Poisson algebras
论文作者
论文摘要
在本文中，我们介绍了可以由Bihom-Novikov-Poisson代数构建的转置Bihom-Poisson（Abbr。TBP）代数的概念。提供了几种有用的TBP代数身份。我们还证明了两个（t）BP代数的张量产品是关闭的。提出了BP 3-LIE代数和TBP 3-LIE代数的概念，TBP代数可以通过两种方法诱导TBP 3-LIE代数。最后，我们给出了维数2的TBP代数的一些示例。
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.
