Yuanchang Lin

activity

20242026

collaborators

6 papers

math.RT2026

Quasi-triangular Jordan D-bialgebras and extended relative Rota-Baxter operators

Dilei Lu, Dongping Hou, Yuanchang Lin

This paper introduces quasi-triangular Jordan D-bialgebras, which are constructed from solutions of the Jordan Yang-Baxter equation (JYBE) with invariant symmetric parts. We first…

math.RA2026

Post-Poisson algebras, extended $O$ -operators and extended Poisson Yang-Baxter equations

Yuanchang Lin, Dilei Lu

This paper introduces the extended $O$ -operators on Poisson algebras as a natural generalization of ordinary $O$ -operators, together with the extended Poisson Y…

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.RA2025

Quasi-triangular and factorizable Poisson bialgebras

Yuanchang Lin, Dilei Lu

In this paper, we introduce the notions of quasi-triangular and factorizable Poisson bialgebras. A factorizable Poisson bialgebra induces a factorization of the underlying Poisson…

math.RT2025

Quasi-triangular and factorizable perm bialgebras

Yuanchang Lin

In this paper, we introduce the notions of quasi-triangular and factorizable perm bialgebras, based on notions of the perm Yang-Baxter equation and $(R, ad)$ -invariant con…

math.QA2024

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…