On Plethysm Conjectures of Stanley and Foulkes: The $2 \times n$ Case
Copyright policy ) Pavlo Pylyavskyy;
On Plethysm Conjectures of Stanley and Foulkes: The $2 \times n$ Case
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.
Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Young diagram, Combinatorics (math.CO), tableaux, 05E10
Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Young diagram, Combinatorics (math.CO), tableaux, 05E10
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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