Degenerate series representations of the universal covering group of SU(2, 2)
نویسندگان
چکیده
منابع مشابه
Restrictions of Certain Degenerate Principal Series of the Universal Covering of the Symplectic Group
Let S̃p(n,R) be the universal covering of the symplectic group. In this paper, we study the restrictions of the degenerate unitary principal series I( , t) of S̃p(n,R) onto S̃p(p,R)S̃p(n − p,R). We prove that if n ≥ 2p , I( , t)| S̃p(p,R)S̃p(n−p,R) is unitarily equivalent to an L 2 -space of sections of a homogeneous line bundle L(S̃p(n − p,R) × G̃L(n−2p)N C ,t+ρ) (see Theorem 1.1). We further study th...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1979
ISSN: 0022-1236
DOI: 10.1016/0022-1236(79)90019-3