30 citations · 41 across the 6 of their papers we have counts for
6 papers
Convex PBW-type Lyndon Bases and Restricted Two-Parameter Quantum Group of Type
Xiaoyu Chen, Naihong Hu, Xiuling Wang
We determine convex PBW-type Lyndon bases for two-parameter quantum groups with detailed commutation relations. We construct a finite-dimensional Hopf algebra $\math…
Modular quantizations of Lie algebras of Cartan type via Drinfeld Twists
Zhaojia Tong, Naihong Hu, Xiuling Wang
We construct explicit Drinfel'd twists for the generalized Cartan type Lie algebras in characteristic and obtain the corresponding quantizations and their integral forms. V…
Quantizations of generalized Cartan type Lie algebras and of the special algebra in the modular case
Naihong Hu, Xiuling Wang
The generalized Cartan type Lie algebras in char 0 with the Lie bialgebra structures involved are quantized, where the Drinfel'd twist we used is proved to be a variat…
Convex PBW-Type Lyndon Bases and Restricted Two-parameter Quantum Groups of Type B
Naihong Hu, Xiuling Wang
We construct convex PBW-type Lyndon bases for two-parameter quantum groups U_{r,s}({so}_{2n+1}) with detailed commutation relations. It turns out that under a certain condition, th…
Convex PBW-type Lyndon Basis and Restricted Two-parameter Quantum Group of Type G_2
Naihong Hu, Xiuling Wang
We construct finite-dimensional pointed Hopf algebras \mathfrak u_{r,s}(G_2) (i.e. restricted 2-parameter quantum groups) from the 2-parameter quantum group U_{r,s}(G_2) defined in…
Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case
Naihong Hu, Xiuling Wang
We quantize the generalized-Witt algebra in characteristic 0 with its Lie bialgebra structures discovered by Song-Su (\cite{GY}). Via a modulo p reduction and a modulo "p-restricte…