8 citations · 8 across the 3 of their papers we have counts for
4 papers
Anti-successors and anti-replicators, Manin products and Koszul duality
Chengming Bai, Li Guo, Yunhe Sheng +1
We develop an operadic theory of anti-splitting and anti-replication for binary operads. For a binary operad $\opd$, we define its anti-bisuccessor $\ABSu(\opd)$ and anti-trisucces…
Braided dynamical groups, the dynamical Yang-Baxter equation and related structures
Chengming Bai, Li Guo, Yunhe Sheng +1
We introduce the notion of a braided dynamical group which is a matched pair of dynamical groups satisfying extra conditions. It is shown to give a solution of the dynamical Yang-B…
A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups
Dilei Lu, Chengming Bai, Li Guo
We develop a bialgebra theory of post-Lie algebras that can be characterized by Manin triples of post-Lie algebras associated to a bilinear form satisfying certain invariant condit…
Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras
Yuanchang Lin, Peng Zhou, Chengming Bai
It is known that the operads of perm algebras and pre-Lie algebras are the Koszul dual each other and hence there is a Lie algebra structure on the tensor product of a perm algebra…