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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Unitary $\mathcal I$-spherical representations for split $p$-adic $\mathbf E_6$
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by Dan Ciubotaru PDF
Represent. Theory 10 (2006), 435-480 Request permission

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
  • MR Author ID: 754534
  • Email: ciubo@math.mit.edu
  • Received by editor(s): November 15, 2005
  • Received by editor(s) in revised form: August 23, 2006
  • Published electronically: October 25, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 10 (2006), 435-480
  • MSC (2000): Primary 22E50
  • DOI: https://doi.org/10.1090/S1088-4165-06-00301-3
  • MathSciNet review: 2266699