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 $F_4$
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by Dan Ciubotaru

Represent. Theory 9 (2005), 94-137

DOI: https://doi.org/10.1090/S1088-4165-05-00206-2

Published electronically: February 1, 2005

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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 $F_4$.

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Computing the unitary dual