Drinfeld Double for Infinitesimal BiHom-bialgebras

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.