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Multiplicity Free Expansions of Schur P-Functions

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Abstract.

After deriving inequalities on coefficients arising in the expansion of a Schur P-function in terms of Schur functions we give criteria for when such expansions are multiplicity free. From here we study the multiplicity of an irreducible spin character of the twisted symmetric group in the product of a basic spin character with an irreducible character of the symmetric group, and determine when it is multiplicity free.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, V6T 1Z2, BC, Canada

    Kristin M. Shaw & Stephanie van Willigenburg

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  1. Kristin M. Shaw
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  2. Stephanie van Willigenburg
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Correspondence to Kristin M. Shaw.

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Received February 28, 2005

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Shaw, K.M., van Willigenburg, S. Multiplicity Free Expansions of Schur P-Functions. Ann. Comb. 11, 69–77 (2007). https://doi.org/10.1007/s00026-007-0306-1

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  • DOI: https://doi.org/10.1007/s00026-007-0306-1

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