A simple construction of Stein's complementary series representations

Siddhartha Sahi
1990 Proceedings of the American Mathematical Society  
We given an elementary construction of Stein's complementary series for GL(2n) over an arbitrary local field F , and determine their restrictions to the "mirabolic" subgroup P2n « GL(2«-1,F)ikF2"_1 . Taken together with the results in [S], this allows one to calculate the adduced representation An for an arbitrary irreducible, unitary representation n of GL(n,C) .
doi:10.1090/s0002-9939-1990-0984813-7 fatcat:leqkwgxxf5fhxer6fl7xrow2de