How to decompose a permutation into a pair of labeled Dyck paths by playing a game

AA inversions and , which have natural interpretations in terms of the game. We derive identities such as

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2015-05, Vol.143 (5), p.1865-1873
Main Authors: BILLERA, LOUIS J., LEVINE, LIONEL, MÉSZÁROS, KAROLA
Format: Article
Language:English
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Description
Summary:AA inversions and , which have natural interpretations in terms of the game. We derive identities such as
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2015-12427-6