English

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

Quantum Algebra 2009-10-31 v1 Mathematical Physics math.MP Representation Theory

Abstract

We study the level-one irreducible highest weight representations of Uq[gl(11)^]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.

Keywords

Cite

@article{arxiv.math/9907134,
  title  = {Level-One Highest Weight Representations of $U_q[\hat{gl(1|1)}]$ and Associated Vertex Operators},
  author = {Wen-Li Yang and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:math/9907134},
  year   = {2009}
}

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