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

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

1999-08-02

arxiv.org/abs/math/9908008v1

J. Math. Phys. 41 (2000) 2460--2481

Mathematics

Quantum Algebra

LaTex file 21 pages

Scientific paper

10.1063/1.533252

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.

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