41 citations · 96 across the 8 of their papers we have counts for
8 papers
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…
Multi-brace cotensor Hopf algebras and quantum groups
Xin Fang, Marc Rosso
We construct multi-brace cotensor Hopf algebras with bosonizations of quantum multi-brace algebras as examples. Quantum quasi-symmetric algebras are then obtained by taking particu…
Quantum Quasi-Shuffle Algebras
Run-Qiang Jian, Marc Rosso, Jiao Zhang
We establish some properties of quantum quasi-shuffle algebras. They include the necessary and sufficient condition for the construction of the quantum quasi-shuffle product, the u…
Braided cofree Hopf algebras and quantum multi-brace algebras
Run-Qiang Jian, Marc Rosso
We give a systematic construction of Hopf algebra structures on braided cofree coalgebras. The relevant underlying structures are braided algebras and braided coalgebras. We provid…
Two-parameter Quantum Affine Algebra , Drinfel'd Realization and Quantum Affine Lyndon Basis
Naihong Hu, Marc Rosso, Honglian Zhang
We further define two-parameter quantum affine algebra after the work on the finite cases (see [BW1], [BGH1], [HS] & [BH]), which turns ou…
Multi-parameter Quantum Groups and Quantum Shuffles, (I)
Naihong Hu, Yufeng Pei, Marc Rosso
In this article, we study the multi-parameter quantum groups defined by generators and relations associated with symmetrizable generalized Cartan matrices, together with their repr…