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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.RT2011
Entropy of Schur-Weyl Measures
Sevak Mkrtchyan
Relative dimensions of isotypic components of N-th order tensor representations of the symmetric group on n letters give a Plancherel-type measure on the space of Young diagrams wi…
math.RT2010
Asymptotics of the maximal and the typical dimensions of isotypic components of tensor representations of the symmetric group
Sevak Mkrtchyan
Vershik and Kerov gave asymptotical bounds for the maximal and the typical dimensions of irreducible representations of symmetric groups . It was conjectured by G. Olshanski t…