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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…
math.QA2015★ 36 cited
The greedy basis equals the theta basis
Man Wai Cheung, Mark Gross, Greg Muller +4
We prove the equality of two canonical bases of a rank 2 cluster algebra, the greedy basis of Lee-Li-Zelevinsky and the theta basis of Gross-Hacking-Keel-Kontsevich.