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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Inner tableau translation property of the weak order and related results


Author: Müge Taşkin
Journal: Proc. Amer. Math. Soc. 141 (2013), 837-856
MSC (2010): Primary 05E10, 20C30
Published electronically: July 24, 2012
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Abstract: Let $ SYT_{n}$ be the set of all standard Young tableaux with $ n$ cells and $ \leq _{weak}$ be Melnikov's weak order on $ SYT_n$. The aim of this paper is to introduce a conjecture on the weak order, named the inner tableau translation property. We prove the conjecture for some special cases and discuss its significance.


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Additional Information

Müge Taşkin
Affiliation: Department of Mathematics, Bogaziçi Üniversitesi, 34342 Bebek-İstanbul, Türkiye
Email: muge.taskin@boun.edu.tr

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11415-7
PII: S 0002-9939(2012)11415-7
Received by editor(s): February 8, 2011
Received by editor(s) in revised form: July 25, 2011
Published electronically: July 24, 2012
Communicated by: Jim Haglund
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.