74 citations · 328 across the 46 of their papers we have counts for
6 papers · 1 filter
Modular Quantizations of Lie Algebras of Cartan Type K via Drinfeld Twists of Jordanian Type
Zhaojia Tong, Naihong Hu
We construct explicit Drinfel'd twists of Jordanian type for the generalized Cartan type K Lie algebras in characteristic 0 and obtain the corresponding quantizations, especially t…
A class of Lie algebras arising from intersection matrices
Li-meng Xia, Naihong Hu
In present work, we find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized…
Matching realization of of higher rank in the quantum Weyl algebra
Naihong Hu, Shenyou Wang
In the paper, we further realize the higher rank quantized universal enveloping algebra as certain quantum differential operators in defined over…
Vertex Operator Representations of Type and Product-Sum Identities
Li-meng Xia, Naihong Hu
The purposes of this work are to construct a class of homogeneous vertex representations of , and to derive a series of product-sum identities. These identiti…
Generating Functions with -Invariance and Vertex Representations of Quantum Affine Algebras (I): Simply-laced Cases
Naihong Hu, Honglian Zhang
We put forward the exact version of two-parameter generating functions with -invariance, which allows us to give a unified and inherent definition for the Drinfeld realization o…
On the Center of Two-parameter Quantum Groups
Naihong Hu, Yuxing Shi
The paper mainly considers the center of two-parameter quantum groups via an analogue of the Harish-Chandra homomorphism. In the case when is od…