Crystal analysis of type C Stanley symmetric functions
- Author(s): Hawkes, Graham;
- Paramonov, Kirill;
- Schilling, Anne
- et al.
Published Web Locationhttps://arxiv.org/pdf/1704.00889.pdf
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.