Document Type
Article
Publication Date
4-1-2008
Abstract
We consider two families of equivalence classes in the Weyl groups of type B n which are suggested by the study of left cells in unequal parameter Iwahori-Hecke algebras. Both families are indexed by a non-negative integer r. It has been shown that the first family coincides with left cells corresponding to the equal parameter Iwahori-Hecke algebra when r=0; the equivalence classes in the second family agree with left cells corresponding to a special class of choices of unequal parameters when r is sufficiently large. Our main result shows that the two families of equivalence classes coincide, suggesting the structure of left cells for remaining choices of the Iwahori-Hecke algebra parameters. © 2007 Springer Science+Business Media, LLC.
Recommended Citation
Pietraho, Thomas, "Equivalence classes in the Weyl groups of type Bn" (2008). Mathematics Faculty Publications. 41.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/41