The BiHom-version of infinitesimal bialgebra was studied in [22]. In this paper, the notion of covariant BiHom-bialgebra is introduced generalizing infinitesimal BiHom-bialgebra above. Especially, we give the characterizations of quasitriangular covariant BiHom-bialgebra, then we obtain the concepts of associative BiHom-Yang-Baxter pair and associative BiHom-Yang-Baxter equation. Furthermore, we present the construction of the Drinfeld double for infinitesimal BiHom-bialgebra from the double BiHom-algebra.

中文翻译：

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Drinfeld Double用于无穷小BiHom-双线性代数

在[22]中研究了无穷小代数的BiHom版本。本文介绍了协变BiHom-双代数的概念，在上面推广了无穷小BiHom-双代数。特别地，我们给出了准三角协变BiHom-Bialgebra的特征，然后得到了关联BiHom-Yang-Baxter对和关联BiHom-Yang-Baxter方程的概念。此外，我们从双BiHom代数介绍了用于无限小BiHom-双代数的Drinfeld双重构造。