Knuth Relations for the Hyperoctahedral Groups

Details Knuth Relations for the Hyperoctahedral Groups Knuth Relations for the Hyperoctahedral Groups

2008-03-23

arxiv.org/abs/0803.3335v1

Mathematics

Representation Theory

23 pages

Scientific paper

C. Bonnaf{\'e}, 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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