Functors for genuine representations of the metaplectic group and graded affine hecke algebras

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Publication Type dissertation
School or College College of Science
Department Mathematics
Author Trahan, Benjamin
Title Functors for genuine representations of the metaplectic group and graded affine hecke algebras
Date 2011-05
Description In a recent pre-print, Ciubotaru and Trapa defi ned a family of exact functors carrying spherical Harish-Chandra modules for real classical linear algebraic groups to representations of a certain algebra called the graded affine Hecke algebra. Representations of this algebra can then be translated, thanks to results of Lusztig, Barbasch, and Moy, into representations of a p-adic group of the same type as the original real group. The result, in eff ect, is a Lefschetz functor for real classical linear algebraic groups; it also embeds the spherical unitary dual for the real group into the spherical unitary dual for the p-adic group. This thesis develops an analagous functor for genuine representations of the real and p-adic metaplectic groups.
Type Text
Publisher University of Utah
Subject Graded affine Hecke algebras; Hecke algebras; Lefschetz principle; Metaplectic group; Representation theory
Dissertation Institution University of Utah
Dissertation Name Doctor of Philosophy
Language eng
Rights Management Copyright © Benjamin Trahan 2011
Format Medium application/pdf
Format Extent 534,271 bytes
Identifier us-etd3,23551
Source Original housed in Marriott Library Special Collections, QA3.5 2011 .T73
ARK ark:/87278/s61c2bmk
Setname ir_etd
Date Created 2012-04-24
Date Modified 2018-04-04
ID 194735
Reference URL https://collections.lib.utah.edu/ark:/87278/s61c2bmk