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arXiv:math/0611822 [math.CO]AbstractReferencesReviewsResources

An Extension of the Foata Map to Standard Young Tableaux

Jim Haglund, Laura Stevens

Published 2006-11-27Version 1

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.

Comments: 15 pages, 8 figures
Journal: Sem. Loth. Comb. 56 (2006), Article B56C
Categories: math.CO
Subjects: 05E10
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