Séminaire Lotharingien de Combinatoire, 78B.8 (2017), 10 pp.
Graham Hawkes, Kirill Paramonov
and Anne Schilling
Crystal Analysis of Type C Stanley Symmetric Functions
Abstract.
Combining results of T. K. Lam and J. Stembridge, the type C Stanley
symmetric function
FwC(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.
Received: November 14, 2016.
Accepted: February 17, 2017.
Final version: April 1, 2017.
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