2 citations · 3 across the 4 of their papers we have counts for
4 papers
Infinitesimal (BiHom-)bialgebras of any weight (II): Representations
Tianshui Ma, Abdenacer Makhlouf
The aim of this paper is to investigate representation theory of infinitesimal (BiHom-)bialgebras of any weight (abbr. -inf(BH)-bialgebras). Firstly, inspired by the well-kn…
Infinitesimal (BiHom-)bialgebras of any weight (I): Basic definitions and properties
Tianshui Ma, Abdenacer Makhlouf
The purpose of this paper is to introduce and study -infinitesimal BiHom-bialgebras (abbr. -infBH-bialgebra) and some related structures. They can be seen as an extension of…
Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras
Chengming Bai, Li Guo, Guilai Liu +1
We establish a bialgebra structure on Rota-Baxter Lie algebras following the Manin triple approach to Lie bialgebras. Explicitly, Rota-Baxter Lie bialgebras are characterized by ge…
Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras
Chengming Bai, Li Guo, Tianshui Ma
Rota-Baxter operators and bialgebras go hand in hand in their applications, such as in the Connes-Kreimer approach to renormalization and the operator approach to the classical Yan…