Hamburger Beitr Age Zur Mathematik Local Maaa { Lifts Local Maaa Lifts
نویسنده
چکیده
We call a Maass lift a prescription to associate an irreducible admissible resp. uni-tary representation of G = PGSp(4) to an irreducible admissible resp. unitary representation of the Jacobi group G J = SL(2) n H. Such a prescription is constructed in the general local case for the principal series representations J m;; of G J and moreover in the real case for the discrete series representation J+ m;k of G J (R). This prescription goes via induction from G J to the maximal parabolic subgroup Q of G with non-abelian radical and uses an intertwining operator im relating the induced representation of Q to a restriction to Q of a representation of G. Moreover in the real case, some innnitesimal considerations of perhaps independent interest come in.
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