35 citations · 87 across the 18 of their papers we have counts for
14 papers · 1 filter
From quantum loop superalgebras to super Yangians
Hongda Lin, Yongjie Wang, Honglian Zhang
The goal of this paper is to generalize a statement by Drinfeld, asserting that Yangians can be constructed as limit forms of the quantum loop algebras, to the super case. We estab…
Level realization of quantum N-toroidal algebras in type
Naihuan Jing, Qianbao Wang, Honglian Zhang
We construct a level vertex representation of the quantum N-toroidal algebra for type , which is a natural generalization of the usual quantum toroidal algebra.…
Vertex representations of quantum N-toroidal algebras for type C
Naihuan Jing, Zhucheng Xu, Honglian Zhang
Quantum N-toroidal algebras are generalizations of quantum affine algebras and quantum toroidal algebras. In this paper we construct a level-one vertex representation of the quantu…
Poincaré series of relative symmetric invariants for SL
Naihuan Jing, Danxia Wang, Honglian Zhang
Let (N, G), where N is a normal subgroup of G<SL_n(C), be a pair of finite groups and V a finite-dimensional fundamental G-module. We study the G-invariants in the symmetric algebr…
Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization
Yun Gao, Naihuan Jing, Limeng Xia +1
We introduce the notion of quantum -toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of -fold affinizat…
Poincaré series, exponents of affine Lie algebras, and McKay-Slodowy correspondence
Naihuan Jing, Danxia Wang, Honglian Zhang
Let be a normal subgroup of a finite group and be a fixed finite-dimensional -module. The Poincaré series for the multiplicities of induced modules and restriction m…
On Hopf algebraic structures of quantum toroidal algebras
Naihuan Jing, Honglian Zhang
We define an algebra using a simplified set of generators for the quantum toroidal algebra and show that there exists an epimorphism from $\mat…
Two-parameter twisted quantum affine algebras
Naihuan Jing, Honglian Zhang
We establish Drinfeld realization for the two-parameter twisted quantum affine algebras using a new method. The Hopf algebra structure for Drinfeld generators is given for both unt…
Fermionic realization of two-parameter quantum affine algebra
Naihuan Jing, Honglian Zhang
We construct a Fock space representation and the action of the two-parameter quantum algebra using extended Young diagrams. In particular, we obtain a…
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…
Drinfeld realization of quantum twisted affine algebras via braid group
Naihuan Jing, Honglian Zhang
The Drinfled realization of quantum affine algebras has been tremendously useful since its discovery. Combining techniques of Beck and Nakajima with our previous approach, we give…
On finite-dimensional representations of two-parameter quantum affine algebras
Naihuan Jing, Honglian Zhang
A notion of Drinfeld polynomials is introduced for modules of two-parameter quantum affine algebras. Finite dimensional representations are then characterized by sets of -tuples…
Fermionic realization of two-parameter quantum affine algebra
Naihuan Jing, Honglian Zhang
We construct all fundamental modules for the two parameter quantum affine algebra of type using a combinatorial model of Young diagrams. In particular we also give a fermionic…
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…