An Extension of the Foata Map to Standard Young Tableaux

Details An Extension of the Foata Map to Standard Young Tableaux An Extension of the Foata Map to Standard Young Tableaux

2006-11-27

arxiv.org/abs/math/0611822v1

Sem. Loth. Comb. 56 (2006), Article B56C

Mathematics

Combinatorics

15 pages, 8 figures

Scientific paper

We define an inversion statistic on standard Young tableaux. We prove that
this statistic has the same distribution over SYT(\lambda) as the major index
statistic by exhibiting a bijection on SYT(\lambda) in the spirit of the Foata
map on permutations.

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