scholarly journals Harmonic analysis for certain representations of graded Hecke algebras

1995 ◽  
Vol 175 (1) ◽  
pp. 75-121 ◽  
Author(s):  
Eric M. Opdam
Keyword(s):  
Harmonic Analysis ◽  
Hecke Algebras ◽  
Graded Hecke Algebras

scholarly journals Twisted graded Hecke algebras

2007 ◽  
Vol 317 (1) ◽  
pp. 30-42 ◽  
Author(s):  
Sarah Witherspoon
Keyword(s):  
Hecke Algebras ◽  
Graded Hecke Algebras

Generalized Graded Hecke Algebras of Types B and D

2006 ◽  
Vol 34 (6) ◽  
pp. 2105-2128 ◽  
Author(s):  
Charlotte Dezélée
Keyword(s):  
Hecke Algebras ◽  
Graded Hecke Algebras

scholarly journals Whittaker unitary dual of affine graded Hecke algebras of type E

2009 ◽  
Vol 145 (6) ◽  
pp. 1563-1616 ◽  
Author(s):  
Dan Barbasch ◽  
Dan Ciubotaru
Keyword(s):  
Hecke Algebras ◽  
Classical Groups ◽  
Unitary Spectrum ◽  
Unitary Dual ◽  
Appl Math ◽  
Graded Hecke Algebras

AbstractThis 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.

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