Analytic Continuation of the Principal Series
نویسندگان
چکیده
The purpose of this note is to announce results obtained in the analytic continuation of the (nondegenerate) "principal series" of representations of the nXn complex unimodular group. This study has as its starting point a similar one for the 2X2 real unimodular group previously carried out by us in [4]. We let G be the nXn complex unimodular group and C its diagonal subgroup consisting of elements c=(ci , c2l • • • , cn). A continuous character X of C is given by
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