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math.GR2010★ 31 cited
Even Partitions in Plethysms
Peter Bürgisser, Matthias Christandl, Christian Ikenmeyer
We prove that for all natural numbers k,n,d with k <= d and every partition lambda of size kn with at most k parts there exists an irreducible GL(d, C)-representation of highest we…
math.GR2009★ 34 cited
Nonvanishing of Kronecker coefficients for rectangular shapes
Peter Bürgisser, Matthias Christandl, Christian Ikenmeyer
We prove that for any partition of size there exists such that the tensor square of the irreducible representation of the symmetric group $S_{…