4 papers · 1 filter
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…
Inner post-Lie algebras and inner post-groups
V. Gubarev, Y. Li, Y. Sheng +1
In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota-Baxter opera…
Quasi-triangular and factorizable dendriform D-bialgebras
You Wang
In this paper, we introduce the notions of quasi-triangular and factorizable dendriform D-bialgebras. A factorizable dendriform D-bialgebra leads to a factorization of the underlyi…
Zinbiel bialgebras, relative Rota-Baxter operators and the related Yang-Baxter Equation
You Wang
In this paper, we first introduce the notion of a Zinbiel bialgebra and show that Zinbiel bialgebras, matched pairs of Zinbiel algebras and Manin triples of Zinbiel algebras are eq…