%0 Journal Article
%T A simplified Kronecker rule for one hook shape
%A Ricky Ini Liu
%J Mathematics
%D 2014
%I arXiv
%X Recently Blasiak gave a combinatorial rule for the Kronecker coefficient $g_{\lambda \mu \nu}$ when $\mu$ is a hook shape by defining a set of colored Yamanouchi tableaux with cardinality $g_{\lambda\mu\nu}$ in terms of a process called conversion. We give a characterization of colored Yamanouchi tableaux that does not rely on conversion, which leads to a simpler formulation and proof of the Kronecker rule for one hook shape.
%U http://arxiv.org/abs/1412.2180v1