Geodesic
Crystals and Schur \(P\)-positive expansions
Seung-Il Choi1 ; Jae-Hoon Kwon1
1Seoul National University
The electronic journal of combinatorics, Tome 25 (2018) no. 3
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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.
DOI : 10.37236/7557
Classification : 17B37, 22E46, 05E10
Mots-clés : Schur \(P\)-function, crystals, Littlewood-Richardson rule

Seung-Il Choi  1   ; Jae-Hoon Kwon  1

1 Seoul National University 
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     author = {Seung-Il Choi and Jae-Hoon Kwon},
     title = {Crystals and {Schur} {\(P\)-positive} expansions},
     journal = {The electronic journal of combinatorics},
     year = {2018},
     volume = {25},
     number = {3},
     doi = {10.37236/7557},
     zbl = {1394.17035},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7557/}
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Seung-Il Choi; Jae-Hoon Kwon. Crystals and Schur \(P\)-positive expansions. The electronic journal of combinatorics, Tome 25 (2018) no. 3. doi: 10.37236/7557

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