Combinatorial proof of the skew K-saturation theorem

Per Alexandersson

doi:10.1016/j.disc.2014.08.025

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arXiv · 1307.3999

Combinatorial proof of the skew K-saturation theorem

Per Alexandersson

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Abstract

We give a combinatorial proof of the skew Kostka analogue of the K-saturation theorem. More precisely, for any positive integer k, we give an explicit injection from the set of skew semistandard Young tableaux with skew shape kλ/kμ and type kν to the set of skew semistandard Young tableaux of shape λ/μ and type ν. Based on this method, we pose some natural conjectural refinements on related problems.

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Per Alexandersson. 2014-06-27. Combinatorial proof of the skew K-saturation theorem. https://doi.org/10.1016/j.disc.2014.08.025

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