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arXiv · 1412.2180

A simplified Kronecker rule for one hook shape

Ricky Ini Liu
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Abstract

Recently Blasiak gave a combinatorial rule for the Kronecker coefficient $g_{λμν}$ when $μ$ is a hook shape by defining a set of colored Yamanouchi tableaux with cardinality $g_{λμν}$ 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.

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Ricky Ini Liu. 2014-12-05. A simplified Kronecker rule for one hook shape. https://arxiv.org/abs/1412.2180

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