Level-One Highest Weight Representations of $U_q[\hat{gl(1|1)}]$ and Associated Vertex Operators

Details Level-One Highest Weight Representations of $U_q[\hat{gl(1|1)}]$ and Associated Vertex Operators Level-One Highest Weight Representations of $U_q[\hat{gl(1|1)}]$ and Associated Vertex Operators

1999-07-22

arxiv.org/abs/math/9907134v1

Phys. Lett. A267 (2000) 157--166

Mathematics

Quantum Algebra

LaTex file 13 pages

Scientific paper

10.1016/S0375-9601(00)00085-2

We study the level-one irreducible highest weight representations of
$U_q[\hat{gl(1|1)}]$ and associated q-vertex operators. We obtain the exchange
relations satisfied by the vertex operators. The characters and supercharacters
associated with these irreducible representations are calculated.

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