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 (Contributor), Kim, Ju-Lee (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Mathematical Sciences Publishers, 2015-01-20T15:43:51Z.
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