A note on the signature representations of the symmetric groups

Kay Jin Lim; Jialin Wang

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arXiv · 1901.05829

A note on the signature representations of the symmetric groups

Kay Jin Lim·Jialin Wang

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Abstract

For a partition {\lambda} and a prime p, we prove a necessary and sufficient condition for there exists a composition {\delta} such that {\delta} can be obtained from {\lambda} after rearrangement and all the partial sums of {\delta} are not divisible by p.

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Kay Jin Lim, Jialin Wang. 2019-01-17. A note on the signature representations of the symmetric groups. https://arxiv.org/abs/1901.05829

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