A generating function for the trace of the Iwahori-Hecke algebra

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dc.creatorOpdam, Eric M.
dc.date2000-12-31
dc.date.accessioned2026-07-07T04:39:27Z
dc.date.available2026-07-07T04:39:27Z
dc.descriptionThe Iwahori-Hecke algebra has a ``natural'' trace $τ$. This trace is the evaluation at the identity element in the usual interpretation of the Iwahori-Hecke algebra as a sub-algebra of the convolution algebra of a p-adic semi-simple group. The Iwahori-Hecke algebra contains an important commutative sub-algebra ${\bf C}[θ_x]$, that was described and studied by Bernstein, Zelevinski and Lusztig. In this note we compute the generating function for the value of $τ$ on the basis $θ_x$.
dc.identifierhttps://arxiv.org/abs/math/0101006
dc.identifierhttp://arxiv.org/abs/math/0101006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60670
dc.subjectRepresentation Theory
dc.subject20C08, 22D25, 22E35
dc.titleA generating function for the trace of the Iwahori-Hecke algebra
dc.typetext

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