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

arxiv: math/9908008 · v1 · submitted 1999-08-02 · 🧮 math.QA · math-ph· math.MP· math.RT

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 This is my paper

classification 🧮 math.QA math-phmath.MPmath.RT

keywords highestirreduciblelevel-oneoperatorsrepresentationsweightaffineassociated

0 comments

read the original abstract

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

This paper has not been read by Pith yet.

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

discussion (0)