On the characters of unipotent representations of a semisimple 𝑝-adic group

Kim, Ju-Lee; Lusztig, George

doi:10.1090/S1088-4165-2013-00439-9

On the characters of unipotent representations of a semisimple $p$-adic group
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by Ju-Lee Kim and George Lusztig

Represent. Theory 17 (2013), 426-441

DOI: https://doi.org/10.1090/S1088-4165-2013-00439-9

Published electronically: August 2, 2013

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Abstract:

Let $G$ be a semisimple almost simple algebraic group defined and split over a nonarchimedean local field $K$ and let $V$ be a unipotent representation of $G(K)$ (for example, an Iwahori-spherical representation). We calculate the character of $V$ at compact very regular elements of $G(K)$.

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