Vertex Operators of $U_q[\hat{gl(N|N)}]$ and Highest Weight Representations of $U_q[\hat{gl(2|2)}]$

Wen-Li Yang; Yao-Zhong Zhang

doi:10.1063/1.533252

paper

Vertex Operators of $U_{q} [g l (N ∣ N)^]$ and Highest Weight Representations of $U_{q} [g l (2∣2)^]$

arXiv:math/9908008 · doi:10.1063/1.533252

Abstract

We determine the exchange relations of the level-one q-vertex operators of the quantum affine superalgebra $U_{q} [g l (N ∣ N)^]$ . We study in details the level-one irreducible highest weight representations of $U_{q} [g l (2∣2)^]$ , and compute the characters and supercharacters associated with these irreducible modules.

LaTex file 21 pages

References in corpus (3)

The twisted quantum affine algebra $U_q(A^{(2)_2)$ and correlation functions of the Izergin-Korepin model
Highest weight representations of $U_{q} (s l^(2∣1))$ and correlation functions of the q-deformed supersymmetric t-J model
Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_{q} [g l (N ∣ N)^]$

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An integrable $U_{q} (g l^(2∣2))_{1}$ -Model: Corner Transfer Matrices and Young Skew Diagrams
A $U_{q} (g l^(2∣2))_{1}$ -Vertex Model: Creation Algebras and Quasi-Particles I

Vertex Operators of Uq​[gl(N∣N)^​] and Highest Weight Representations of Uq​[gl(2∣2)^​]

Abstract

References in corpus (3)

Cited by in corpus (6)

Vertex Operators of $U_{q} [g l (N ∣ N)^]$ and Highest Weight Representations of $U_{q} [g l (2∣2)^]$