Geodesic
On plethysm conjectures of Stanley and Foulkes: the \(2\times n\) case
The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2
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We prove Stanley's plethysm conjecture for the $2 \times n$ case, which composed with the work of Black and List provides another proof of Foulkes conjecture for the $2 \times n$ case. We also show that the way Stanley formulated his conjecture, it is false in general, and suggest an alternative formulation.
DOI : 10.37236/1865
Classification : 05E10
Mots-clés : Young diagram, tableaux 
@article{10_37236_1865,
     author = {Pavlo Pylyavskyy},
     title = {On plethysm conjectures of {Stanley} and {Foulkes:} the \(2\times n\) case},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {2},
     doi = {10.37236/1865},
     zbl = {1060.05099},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1865/}
}
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Pavlo Pylyavskyy. On plethysm conjectures of Stanley and Foulkes: the \(2\times n\) case. The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2. doi: 10.37236/1865

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