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arXiv:0803.1148 [math.RT]AbstractReferencesReviewsResources

Plactic relations for $r$-domino tableaux

Muge Taskin

Published 2008-03-07, updated 2011-11-10Version 3

The work of C. Bonnaf{\'e}, M. Geck, L. Iancu and T. Lam \cite{Geck-Lam} shows through two conjectures that $r$-domino tableaux have an important role in Kazhdan-Lusztig theory of type $B$ with unequal parameters. In this paper we provide plactic relations on signed permutations which determine whether given two signed permutations have the same insertion $r$-domino tableaux in Garfinkle's algorithm \cite{Garfinkle1}.

Comments: 17 pages, 12 figures
Categories: math.RT, math.CO
Subjects: 05E10, 20C08
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