Theta series liftings from orthogonal groups to semi-simple groups
نویسندگان
چکیده
منابع مشابه
Nonvanishing of Global Theta Lifts from Orthogonal Groups
Let X be an even dimensional symmetric bilinear space defined over a totally real number field F with adeles A, and let σ = ⊗vσv be an irreducible tempered cuspidal automorphic representation of O(X,A). We give a sufficient condition for the nonvanishing of the theta lift Θn(σ) of σ to the symplectic group Sp(n,A) (2n by 2n matrices) for 2n ≥ dimX for a large class of X. As a corollary, we show...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 2000
ISSN: 0263-6115
DOI: 10.1017/s1446788700001877