Equivalence Classes in the Weyl groups of type $B_n$

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dc.creatorPietraho, Thomas
dc.date2006-07-09
dc.date2007-06-12
dc.date.accessioned2026-07-07T08:05:07Z
dc.date.available2026-07-07T08:05:07Z
dc.descriptionWe 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 $r$. For $r=0$, the classes in the first family coincide with left cells corresponding to the equal parameter Iwahori-Hecke algebra. When $r$ is sufficiently large, the equivalence classes in the second family agree with left cells corresponding to a special class of choices of unequal parameters. 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.
dc.description14 pages; Expanded introduction and references;
dc.identifierhttps://arxiv.org/abs/math/0607231
dc.identifierhttp://arxiv.org/abs/math/0607231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130177
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E10, 20C08
dc.titleEquivalence Classes in the Weyl groups of type $B_n$
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