On the Steinberg character of a semisimple p-adic group
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Kim_On the steinberg.pdf
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156.88 KB
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Author(s)
Lusztig, George
Kim, Ju-Lee
Date Issued
August 2013
Journal
Pacific Journal of Mathematics
Publisher
Mathematical Sciences Publishers
Citation
Kim, Julee, and George Lusztig. “ On the Steinberg Character of a Semisimple p -Adic Group .” Pacific Journal of Mathematics 265, no. 2 (2013): 499–509.
Version
Original manuscript
Abstract
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-spherical representation at a split very regular element is given by a trace in the corresponding Hecke algebra module.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.2140/pjm.2013.265.499
