Knuth Relations for the Hyperoctahedral Groups

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.

23 pages

References in corpus (2)

• Quiver varieties, category O for rational Cherednik algebras, and Hecke algebras
• Cells and Constructible Representations in type B