Multiplicity matrices for the affine graded Hecke algebra

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dc.creatorCiubotaru, Dan
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:37Z
dc.date.available2026-07-07T08:53:37Z
dc.descriptionIn this paper, we look at the problem of determining the composition factors for the affine graded Hecke algebra via the computation of Kazhdan-Lusztig type polynomials. We review the algorithms of \cite{L1,L2}, and use them in particular to compute, at every real central character which admits tempered modules, the geometric parameterization, the Kazhdan-Lusztig polynomials, the composition series, and the Iwahori-Matsumoto involution for the representations with Iwahori fixed vectors of the split $p$-adic groups of type $G_2$ and $F_4$.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0801.1526
dc.identifierhttp://arxiv.org/abs/0801.1526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145687
dc.subjectRepresentation Theory
dc.subject22E50
dc.titleMultiplicity matrices for the affine graded Hecke algebra
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