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Young tableaux and crystal base for U q (osp(1|2n))

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Abstract

Let U q (osp(1|2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1|2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph of finite dimensional irreducible modules of U q (osp(1|2n)) is given. Also, the generalized Littlewood-Richardson rule for tensor product of crystal graphs is established.

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Authors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

    JunLi Liu & ShiLin Yang

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  1. JunLi Liu
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  2. ShiLin Yang
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Correspondence to ShiLin Yang.

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Liu, J., Yang, S. Young tableaux and crystal base for U q (osp(1|2n)). Sci. China Math. 53, 289–303 (2010). https://doi.org/10.1007/s11425-009-0080-0

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  • DOI: https://doi.org/10.1007/s11425-009-0080-0

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