Title
Crystal Analysis of type C Stanley Symmetric Functions.
Abstract
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 Hawkes100.34
Kirill Paramonov210.70
Anne Schilling3176.74