Plactic relations for r-domino tableaux
Abstract
The work of C. Bonnaf\'e, M. Geck, L. Iancu and T. Lam 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 Garfinkle1.
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