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On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting

Wu, Kaidi
arXiv (All) · Papers
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11f2722e50number-theoryrepresentation-theory
We establish a multiplicity-one refinement of the non-archimedean type-II Howe correspondence: whenever the small theta lift is non-zero, it occurs in the big theta lift with Jordan-Hölder multiplicity one. Furthermore, we apply this result alongside the Godement-Jacquet zeta integral to compute big
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