Plactic relations for r-domino tableaux

2008/03/07 by Muge Taskin, Taskin, Muge
Mathematics · #05E10 #20C08 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05E10 #msc:20C08

paper · pdf · doi:10.48550/arxiv.0803.1148

17 pages, 12 figures

arxiv created 2011/11/10 · arxiv updated 2011/11/11

Abstract

The work of C. Bonnafé, M. Geck, L. Iancu and T. Lam \citeGeck-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 \citeGarfinkle1.

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