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Lie superalgebras and some characters of S n

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Abstract

We prove a formula for S n characters which are indexed by the partitions in the (k, ℓ) hook. The proof applies a combinatorial part of the theory of Lie superalgebras [1].

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References

  1. A. Berele and A. Regev, Hook Young diagrams with applications to Combinatorics and to representations of Lie superalgebras, Advances in Mathematics 64 (1987), 118–175.

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  2. I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd edition, Oxford University Press, Oxford, 1995.

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  3. R. Stanley, Enumerative Combinatorics, Volume 2, Cambridge Studies in Advanced Mathematics 62, Cambridge University Press, 1999.

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Authors and Affiliations

  1. Department of Mathematics, The Weizmann Institute of science, Rehovot, 76100, Israel

    Amitai Regev

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  1. Amitai Regev
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Correspondence to Amitai Regev.

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Regev, A. Lie superalgebras and some characters of S n . Isr. J. Math. 195, 31–35 (2013). https://doi.org/10.1007/s11856-012-0095-z

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  • DOI: https://doi.org/10.1007/s11856-012-0095-z

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