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The cyclic representations of the quantum superalgebra U q osp(2, 1) withq a root of unity

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Abstract

By generalizing De Concini and Kac's cyclic representation theory of quantum groups at roots of unity, the cyclic representations of the quantum superalgebra U q osp(2, 1) are constructed in three classes: irreducible representations with single multiplicities, irreducible representations with the multiplicities larger than one, and indecomposable representations.

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Authors and Affiliations

  1. Theoretical Physics Division, Nankai Institute of Mathematics, 300071, Tianjin, P.R. China

    Chang-Pu Sun & Mo-Lin Ge

  2. Physics Department, Northeast Normal University, 130024, Changchun, P.R. China

    Chang-Pu Sun & Hong-Chen Fu

Authors
  1. Chang-Pu Sun
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  2. Hong-Chen Fu
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  3. Mo-Lin Ge
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This work is supported in part by the National Sciene Foundation in China.

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Sun, CP., Fu, HC. & Ge, ML. The cyclic representations of the quantum superalgebra U q osp(2, 1) withq a root of unity. Lett Math Phys 23, 19–27 (1991). https://doi.org/10.1007/BF01811290

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  • DOI: https://doi.org/10.1007/BF01811290

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