A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)
A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)
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GSO(6) 表示的唯一性定理和 GSP(4) 泛型表示的强重数一定理
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发表时间：
1987
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通讯作者：
D. Soudry
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作者：
D. Soudry
考虑从GSp(4)到GSO(6)的θ-对应关系。我们证明了在非阿基米德域df上，这种对应在GSp（4，F）的一般表示（即Whittaker模型）上是内射的。我们用这个证明了一般的GSp（4，A）的不可约、自同构、反转表示的强多重性。
Consider the θ-correspondence from GSp(4) to GSO(6). We prove that locally over a nonarchimedean fieldF, this correspondence is injective on generic representations (i.e. with Whittaker model) of GSp(4,F). We use this to show the strong multiplicity one property for irreducible, automorphic, cuspidal representations of GSp(4,A), which are generic.