Whittaker unitary dual of affine graded Hecke algebras of type E

Author: 

Barbasch, D
Ciubotaru, D

Publication Date: 

November 2009

Journal: 

COMPOSITIO MATHEMATICA

Last Updated: 

2020-09-26T11:48:23.37+01:00

Issue: 

6

Volume: 

145

DOI: 

10.1112/S0010437X09004230

page: 

1563-1616

abstract: 

This paper gives the classification of the Whittaker unitary dual for affine graded Hecke algebras of type E. By the Iwahori-Matsumoto involution, this is also equivalent to the classification of the spherical unitary dual for type E. Together with some results of Barbasch and Moy (D. Barbasch and A. Moy, Unitary spherical spectrum for p-adic classical groups, Acta Appl. Math. 44 (1996), 3-37; D. Barbasch, The spherical unitary spectrum of split classical real and p-adic groups, Preprint (2006), math/0609828) and Ciubotaru (D. Ciubotaru, The Iwahori spherical unitary dual of the split group of type F4, Represent. Theory 9 (2005), 94-137), this work completes the classification of the Whittaker Iwahori-spherical unitary dual or, equivalently, the spherical unitary dual of any split p-adic group. © 2009 Foundation Compositio Mathematica.

Symplectic id: 

511164

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Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article