3 papers
math.RT2026
Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras
Bo Hou, Yuanchang Lin
There is a Lie algebra structure on the tensor product of a Leibniz algebra and a Zinbiel algebra for the operads of Leibniz algebras and Zinbiel algebras are Koszul dual. In this…
math.RA2026
Quasi-triangular dual pre-Poisson bialgebras and its connection with Poisson bialgebras
Bo Hou, Ru Li
In this paper, the notions of quasi-triangular and factorizable dual pre-Poisson bialgebras are introduced. A factorizable dual pre-Poisson bialgebra induces a factorization of the…
math.RA2025
Affinization of Zinbiel bialgebras and pre-Poisson bialgebras, infinite-dimensional Poisson bialgebras
Yanhong Guo, Bo Hou
The purpose of this paper is to construct infinite-dimensional Poisson bialgebras by the affinization of pre-Poisson algebras. There is a natural Poisson algebra structure on the t…