Abstract | ||
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Combining results of T.K. Lam and J. Stembridge, the type C Stanley symmetric function F-w(C)(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. |
Year | Venue | Keywords |
---|---|---|
2017 | ELECTRONIC JOURNAL OF COMBINATORICS | Stanley symmetric functions,crystal bases,Kraskiewicz insertion,mixed Haiman insertion,unimodal tableaux,primed tableaux |
Field | DocType | Volume |
Integer,Combinatorics,Stanley symmetric function,Pure mathematics,Mathematics,Coxeter group | Journal | 24 |
Issue | ISSN | Citations |
3.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 4 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Graham Hawkes | 1 | 0 | 0.34 |
Kirill Paramonov | 2 | 1 | 0.70 |
Anne Schilling | 3 | 17 | 6.74 |