Inner tableau translation property of the weak order and related results

Muge Taskin

Inner tableau translation property of the weak order and related results

Combinatorics 2011-02-01 v3

Authors: Muge Taskin

Abstract

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

Keywords

standard Young tableau weak order inner tableau translation Melnikov's weak order conjecture

Cite

@article{arxiv.1009.4890,
  title  = {Inner tableau translation property of the weak order and related results},
  author = {Muge Taskin},
  journal= {arXiv preprint arXiv:1009.4890},
  year   = {2011}
}

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