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Crystal analysis of type C Stanley symmetric functions

  • Author(s): Hawkes, Graham
  • Paramonov, Kirill
  • Schilling, Anne
  • et al.

Published Web Location

https://arxiv.org/pdf/1704.00889.pdf
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Abstract

Combining results of T.K. Lam and J. Stembridge, the type C Stanley symmetric function FCw(x), indexed by an element w in the type C Coxeter group, has a nonnegative integer expansion in terms of Schur functions. We provide a crystal theoretic explanation of this fact and give an explicit combinatorial description of the coefficients in the Schur expansion in terms of highest weight crystal elements.

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