On the Steinberg character of a semisimple p-adic group

We show that the character of the Steinberg representation of a split semisimple p-adic group at a very regular element is given (up to sign) by a power of q, the number of elements in the residue field. We also show that (under an assumption on the characteristic) the character of an Iwahori-spheri...

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Bibliographic Details
Main Authors: Lusztig, George, Kim, Ju-Lee
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Mathematical Sciences Publishers 2015
Online Access:http://hdl.handle.net/1721.1/92975
https://orcid.org/0000-0002-9184-0114
https://orcid.org/0000-0001-9414-6892