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Quantum superalgebras u q (sl(m|n)) at roots of unity

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Abstract

Finite dimensional Hopf superalgebras u q (sl(m|n)) corresponding to the Lie superalgebras sl(m|n) are constructed. The PBW type basis and the left and right integrals of u q (sl(m|n)) are obtained. Furthermore, the group of Hopf superalgebra automorphisms is described.

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Authors and Affiliations

  1. Department of Applied Mathematics, Beijing University of Technology, Beijing, 100124, China

    Jialei Chen & Shilin Yang

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  1. Jialei Chen
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  2. Shilin Yang
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Correspondence to Shilin Yang.

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Chen, J., Yang, S. Quantum superalgebras u q (sl(m|n)) at roots of unity. Front. Math. China 7, 607–628 (2012). https://doi.org/10.1007/s11464-011-0136-7

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  • DOI: https://doi.org/10.1007/s11464-011-0136-7

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