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most citedInfinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras

8 citations · 8 across the 7 of their papers we have counts for

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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.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.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 -invariant con…