Plactic relations for $r$-domino tableaux
Representation Theory
2011-11-11 v3 Combinatorics
Abstract
The work of C. Bonnaf{\'e}, M. Geck, L. Iancu and T. Lam \cite{Geck-Lam} shows through two conjectures that -domino tableaux have an important role in Kazhdan-Lusztig theory of type with unequal parameters. In this paper we provide plactic relations on signed permutations which determine whether given two signed permutations have the same insertion -domino tableaux in Garfinkle's algorithm \cite{Garfinkle1}.
Keywords
Cite
@article{arxiv.0803.1148,
title = {Plactic relations for $r$-domino tableaux},
author = {Muge Taskin},
journal= {arXiv preprint arXiv:0803.1148},
year = {2011}
}
Comments
17 pages, 12 figures