From: mckay@cs.concordia.ca (MCKAY john) Subject: Re: Representations of GL(2,p) Date: 28 Nov 2001 20:19:35 GMT Newsgroups: sci.math Summary: Pointers: irreducible representations of GL(2,p) Steinberg, R. Can J Math (1951?) John McKay In article <36abe133.0111280825.5e7398ce@posting.google.com>, Bill wrote: >"Robin Chapman" wrote in message news:<8d27295a5c1c630e84697f2708cc1dc4.22128@mygate.mailgate.org>... >> "Ola" wrote in message >> news:1ddac121.0111272028.2d300884@posting.google.com... >> >> > How it is proved that if p is an odd prime then the maximal degree >> > of an irreducible representation of GL(2,p) is p+1 ? >> >> By finding all irreducible representations of GL(2,p). >> >> Robin Chapman > >Can you please explain or give a hint how to do this ? >Are these well known ? > >Thanks,Bill -- But leave the wise to wrangle, and with me the quarrel of the universe let be; and, in some corner of the hubbub couched, make game of that which makes as much of thee. ============================================================================== From: "Robin Chapman" Subject: Re: Representations of GL(2,p) Date: Wed, 28 Nov 2001 18:54:48 +0000 (UTC) Newsgroups: sci.math "Bill" wrote in message news:36abe133.0111280825.5e7398ce@posting.google.com... > "Robin Chapman" wrote in message news:<8d27295a5c1c630e84697f2708cc1dc4.22128@mygate.mailgate.org>... > > "Ola" wrote in message > > news:1ddac121.0111272028.2d300884@posting.google.com... > > > > > How it is proved that if p is an odd prime then the maximal degree > > > of an irreducible representation of GL(2,p) is p+1 ? > > > > By finding all irreducible representations of GL(2,p). > > Can you please explain or give a hint how to do this ? > Are these well known ? Very. They are certainly in Fulton/Harris's _Representation Theory_ and I think in one of the Curtis/Reiner books. The only degrees that occur are 1, p-1, p and p+1. Robin Chapman -- Posted from webcacheh08a.cache.pol.co.uk [195.92.67.72] via Mailgate.ORG Server - http://www.Mailgate.ORG