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92975 |
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|a Lusztig, George
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Kim, Ju-Lee
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|a Lusztig, George
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|a Kim, Ju-Lee
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|a On the Steinberg character of a semisimple p-adic group
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|b Mathematical Sciences Publishers,
|c 2015-01-20T15:43:51Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/92975
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|a 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.
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|a National Science Foundation (U.S.)
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|a en_US
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|a Article
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|t Pacific Journal of Mathematics
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