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math.RT2015
On McKay's propagation theorem for the Foulkes conjecture
Christian Ikenmeyer
We translate the main theorem in Tom McKay's paper "On plethysm conjectures of Stanley and Foulkes" (J. Alg. 319, 2008, pp. 2050-2071) to the language of weight spaces and projecti…
math.RT2015
Symmetrizing Tableaux and the 5th case of the Foulkes Conjecture
Man-Wai Cheung, Christian Ikenmeyer, Sevak Mkrtchyan
The Foulkes conjecture states that the multiplicities in the plethysm Sym^a(Sym^b V) are at most as large as the multiplicities in the plethysm Sym^b(Sym^a V) for all a <= b. This…