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arXiv · 0803.3335

Knuth Relations for the Hyperoctahedral Groups

Thomas Pietraho
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Abstract

C. Bonnaf{é}, M. Geck, L. Iancu, and T. Lam have conjectured a description of one-sided cells in unequal parameter Hecke algebras of type $B$ which is based on domino tableaux of arbitrary rank. In the integer case, this generalizes the work of D. Garfinkle whose methods we adapt to construct a family of operators which generate the conjectured combinatorial description.

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Thomas Pietraho. 2008-03-23. Knuth Relations for the Hyperoctahedral Groups. https://arxiv.org/abs/0803.3335

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