Reducing the Minimal Representation Modulo l ; An Exercise
نویسندگان
چکیده
Let G be a simply connected Chevalley group over a p-adic field, with the residue field of order q, corresponding to an irreducible simply laced root system. We show that the minimal representation V of G can be defined over Q. We show that the reduction of V modulo l 6= p is minimal (in appropriate sense) and is irreducible for l outside an explicit, finite set determined by q.
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تاریخ انتشار 2009