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

Wen-Li Yang·Yao-Zhong Zhang
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Abstract

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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Wen-Li Yang, Yao-Zhong Zhang. 1999-07-22. Level-One Highest Weight Representations of $U_q[\hat{gl(1|1)}]$ and Associated Vertex Operators. https://doi.org/10.1016/s0375-9601(00)00085-2

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