@article{BCI-Nonvanishing-Of-Kronecker-Coefficients-For-Rectangular-Shapes,
Title = {Nonvanishing of Kronecker coefficients for rectangular shapes},
Author = {Peter Bürgisser and Matthias Christandl and Christian Ikenmeyer},
Pages = {2082-2091},
Year = {2011},
Journal = {Advances in Mathematics},
Volume = {227},
Abstract = {We prove that for any partition $(\lambda_1,...,\lambda_{d^2})$ of size $\ell d$ there exists $k\ge 1$ such that the tensor square of the irreducible representation of the symmetric group $S_{k\ell d}$ with respect to the rectangular partition $(k\ell,...,k\ell)$ contains the irreducible representation corresponding to the stretched partition $(k\lambda_1,...,k\lambda_{d^2})$. We also prove a related approximate version of this statement in which the stretching factor $k$ is effectively bounded in terms of $d$. This investigation is motivated by questions of geometric complexity theory.},
Url = {http://arxiv.org/abs/0910.4512},
Url2 = {http://www3.math.tu-berlin.de/algebra/work/arxiv0910.4512v4.pdf}
}