1 citations · 1 across the 7 of their papers we have counts for
7 papers
Matched pairs of Hopf algebras and Rota-Baxter Hopf algebras
Shukun Wang
In this paper, we first study Rota-Baxter Hopf algebras of weight and construct a matched pair of Hopf algebras on every Rota-Baxter Hopf algebra of weight . Then we propo…
Matched pairs of Lie algebras and Rota-Baxter Lie algebras
Shukun Wang
In this paper, we investigate the relationship between matched pairs of Lie algebras and Rota-Baxter Lie algebras. First, we show that every Rota-Baxter Lie algebra $(\mathfrak{g},…
Projective Banach Lie bialgebras, the projective Yang-Baxter equation and projective Poisson-Lie groups
Zhonghua Li, Shukun Wang
In this paper, we first introduce the notion of projective Banach Lie bialgebras as the projective tensor product analogue of Banach Lie bialgebras. Then we consider the completion…
Twisted Post-Groups and Skew Trusses
Shukun Wang
To understand the origin of post-groups introduced by Bai, Guo, Sheng, and Tang from the perspective of rings, we introduce the notion of (weak) twisted post-groups. First, we show…
Rota-Baxter systems of Hopf algebras and Hopf trusses
Zhonghua Li, Shukun Wang
As Hopf truss analogues of Rota-Baxter Hopf algebras, the notion of Rota-Baxter systems of Hopf algebras is proposed. We study the relatiohship between Rota-Baxter systems of Hopf…
Rota-Baxter systems and skew trusses
Zhonghua LI, Shukun Wang
As a generalization of skew braces, the notion of skew trusses was introduced by T. Brzezinski. It was shown that every Rota-Baxter group has the structure of skew braces by V. G.…
Rota-Baxter -algebras
Zhonghua Li, Shukun Wang
This paper introduces the notion of Rota-Baxter -algebras. Here a Rota-Baxter -algebra is a -algebra with a Rota-Baxter operator. Symmetric Rota-Baxte…