A property of dominance of partitions

Details A property of dominance of partitions A property of dominance of partitions

2008-03-18

arxiv.org/abs/0803.2699v1

Mathematics

Combinatorics

Note. 1.5 page(s)

Scientific paper

Given an integer partition $\la=(\la_1, ..., \la_\ell)$ and an integer k,
denote by $\la^{(k)}$ the sequence of length $\ell$ obtained by reordering the
values $|\la_i-k|$ in non-increasing order. If $\la$ dominates $\mu$ and has
the same weight, then $\la^{(k)}$ dominates $\mu^{(k)}$.

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