The unitary 𝕀–spherical dual for split 𝕡–adic groups of type 𝔽₄

Ciubotaru, Dan

doi:10.1090/S1088-4165-05-00206-2

The unitary $\mathbb I$–spherical dual for split $p$–adic groups of type $F_4$

Author: Dan Ciubotaru
Journal: Represent. Theory 9 (2005), 94-137
MSC (2000): Primary 22E50
DOI: https://doi.org/10.1090/S1088-4165-05-00206-2
Published electronically: February 1, 2005
MathSciNet review: 2123126
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Abstract: It is known that the determination of the Iwahori-spherical unitary dual for $p$-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for the associated Hecke algebras. In this setting, I determine the Iwahori–spherical unitary dual for split groups of type $F_4$.

[A]A D. Alvis Induce/Restrict matrices for exceptional Weyl groups, preprint.

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[V2]V2 ---Computing the unitary dual, notes at atlas.math.umd.edu/papers