English

Multiplicity free expansions of Schur $P$-functions

Combinatorics 2007-06-25 v1

Abstract

After deriving inequalities on coefficients arising in the expansion of a Schur PP-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.

Keywords

Cite

@article{arxiv.0706.3249,
  title  = {Multiplicity free expansions of Schur $P$-functions},
  author = {Kristin M. Shaw and Stephanie van Willigenburg},
  journal= {arXiv preprint arXiv:0706.3249},
  year   = {2007}
}

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10 pages