35 citations · 76 across the 27 of their papers we have counts for
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Double cross products with projections and relative Rota-Baxter operators on Hopf algebras
Yunnan Li
Given a matched pair of Hopf algebras, the double cross product construction yields a new Hopf algebra, the prototypical example of which is the generalized quantum double arising…
Crossed homomorphisms and Cartier-Kostant-Milnor-Moore theorem for difference Hopf algebras
Li Guo, Yunnan Li, Yunhe Sheng +1
The celebrated Milnor-Moore theorem and the more general Cartier-Kostant-Milnor-Moore theorem establish close relationships of a connected and a pointed cocommutative Hopf algebra…
Coherent unit actions on braided operads and Hopf algebras
Li Guo, Yunnan Li
The notion of a coherent unit action on algebraic operads was first introduced by Loday for binary quadratic nonsymmetric operads and generalized by Holtkamp, to ensure that the fr…
Braided dendriform and tridendriform algebras and braided Hopf algebras of planar trees
Li Guo, Yunnan Li
This paper introduces the braidings of dendriform algebras and tridendriform algebras. By studying free braided dendriform algebras, we obtain braidings of the Hopf algebras of Lod…
Braided Rota-Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras
Li Guo, Yunnan Li
Rota-Baxter algebras and the closely related dendriform algebras have important physics applications, especially to renormalization of quantum field theory. Braided structures prov…
Multi-parameter Quantum Groups via Quantum Quasi-Symmetric Algebras
Yunnan Li, Naihong Hu, Marc Rosso
It is proved that the entire multi-parameter (small-)quantum groups of symmetrizable Kac-Moody algebras can be realized as certain subquotients of the cotensor Hopf algebras. This…
q-symmetric functions and q-quasisymmetric functions
Yunnan Li
In this paper, we construct the q-analogue of Poirier-Reutenauer algebras, related deeply with other q-combinatorial Hopf algebras. As an application, we use them to realize the od…