A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4) (Q1101557)
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scientific article; zbMATH DE number 4046036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4) |
scientific article; zbMATH DE number 4046036 |
Statements
A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4) (English)
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1987
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This paper may be considered as a contribution to the study of the theta- correspondence between automorphic representations of GSp(4) and of \(GO^+(6)\). It is proved that, locally, there is at most one generic representation of GSp(4,F) corresponding to a given irreducible representation of \(GO^+(6,F)\). As a consequence we have an injectivity result for the theta-correspondence from generic automorphic representations of GSp(4) to \(GO^+(6)\), which in its turn implies the strong multiplicity-one theorem for generic representations of GSp(4).
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theta-correspondence
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automorphic representations
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generic representation
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irreducible representation
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strong multiplicity-one theorem
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