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Unitary $ \mathcal I$-spherical representations for split $ p$-adic $ \mathbf E_6$


Author: Dan Ciubotaru
Journal: Represent. Theory 10 (2006), 435-480
MSC (2000): Primary 22E50
Published electronically: October 25, 2006
MathSciNet review: 2266699
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Abstract: The determination of the Iwahori-spherical unitary representations for split $ p$-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for associated graded Hecke algebras. We determine the unitary modules with real infinitesimal character for the graded Hecke algebra of type $ E_6$.


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Additional Information

Dan Ciubotaru
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: ciubo@math.mit.edu

DOI: https://doi.org/10.1090/S1088-4165-06-00301-3
Received by editor(s): November 15, 2005
Received by editor(s) in revised form: August 23, 2006
Published electronically: October 25, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.