The projective envelope of a cuspidal representation of a GL[subscript n](F[subscript q])

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Title: The projective envelope of a cuspidal representation of a GL[subscript n](F[subscript q])
Author: Paige, David Lee
Abstract: Let l be a prime and let q be a prime power not divisible by l . Put G=GI[subscript n] (F[subscript q] )and fix a representation pi of G over a sufficiently large finite field , k , of characteristic l , so that pi is cuspidal but not supercuspidal . We compute the W (k )[G] -endomorphism ring of the projective envelope of pi under the assumption that l >n .
URI: http : / /hdl .handle .net /2152 /ETD -UT -2012 -08 -5911
Date: 2012-10-26

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The projective envelope of a cuspidal representation of a GL[subscript n](F[subscript q]). Doctoral dissertation, University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /ETD -UT -2012 -08 -5911 .

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