Crystals and Schur $P$-Positive Expansions
We give a new characterization of Littlewood-Richardson-Stembridge tableaux for Schur $P$-functions by using the theory of $\mathfrak{q}(n)$-crystals. We also give alternate proofs of the Schur $P$-expansion of a skew Schur function due to Ardila and Serrano, and the Schur expansion of a Schur $P$-function due to Stembridge using the associated crystal structures.
1999 ◽
Vol 579
(1-2)
◽
pp. 304-310
◽
2014 ◽
Vol 218
◽
pp. 23-31
◽
Keyword(s):
2000 ◽
Vol 73
(5)
◽
pp. 1143-1152
◽
Keyword(s):