Inner tableau translation property of the weak order and related results

Details Inner tableau translation property of the weak order and related results Inner tableau translation property of the weak order and related results

2010-09-24

arxiv.org/abs/1009.4890v3

Mathematics

Combinatorics

Scientific paper

Let $SYT_{n}$ be the set of all standard Young tableaux with $n$ cells and
$\leq_{weak}$ be Melnikov's the weak order on $SYT_n$. The aim of this paper is
to introduce a conjecture, called the {\it property of inner tableau
translation} and discuss its significance in the studies of the weak order. We
will prove the conjecture for some specific cases

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