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TITLE How to determine a partition up to conjugation using multisets of hook lengths
KIAS AUTHORS Yu, Myungjun
JOURNAL DISCRETE MATHEMATICS, 2020
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ABSTRACT If two partitions are conjugate, their multisets of hook lengths are the same. Then one may wonder whether the multiset of hook lengths of a partition determines a partition up to conjugation. The answer turns out to be no. However, we may add an extra condition under which a given multiset of hook lengths determines a partition uniquely up to conjugation. Herman-Chung, and later Morotti found such a condition. We give an alternative proof of Morotti's theorem and generalize it. (C) 2020 Elsevier B.V. All rights reserved.
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