35 citations · 41 across the 7 of their papers we have counts for
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Quantum Divided Power Algebra, q-Derivatives and Some New Quantum Groups
Naihong Hu
The discussions in the present paper arise from exploring intrinsically the structure nature of the quantum -space. A kind of braided category $\Cal {GB}$ of $\La$-graded -co…
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…
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…
Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis
Xiaotang Bai, Naihong Hu
The presentation of two-parameter quantum groups of type E-series in the sense of Benkart-Witherspoon [BW1] is given, which has a Drinfel'd quantum double structure. The universal…
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…
Two-parameter Quantum Group of Exceptional Type G_2 and Lusztig's Symmetries
Naihong Hu, Qian Shi
We give the defining structure of two-parameter quantum group of type G_2 defined over a field {\Bbb Q}(r,s) (with r\ne s), and prove the Drinfel'd double structure as its upper an…