English

Knuth Relations for the Hyperoctahedral Groups

Representation Theory 2008-03-25 v1 Combinatorics

Abstract

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 BB 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.

Keywords

Cite

@article{arxiv.0803.3335,
  title  = {Knuth Relations for the Hyperoctahedral Groups},
  author = {Thomas Pietraho},
  journal= {arXiv preprint arXiv:0803.3335},
  year   = {2008}
}

Comments

23 pages

R2 v1 2026-06-21T10:23:49.961Z