Multiplicity one theorems over positive characteristic

DOI10.4153/s0008414x2200027xzbMath1523.22015arXiv2010.16112WikidataQ113692057 ScholiaQ113692057MaRDI QIDQ6046141

Dor Mezer

Publication date: 15 May 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.16112

zbMATH Keywords

invariant distributionsmultiplicity one theoremsGelfand-Kazhdan pairslocal fields of positive characteristicRankin-Selberg models

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on (p)-adic Lie groups (22E35)

Cites Work

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• Multiplicity one theorems: the Archimedean case
• \((\text O(V\oplus F),\text O(V))\) is a Gelfand pair for any quadratic space \(V\) over a local field \(F\)
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• Spherical pairs over close local fields
• Multiplicity one theorem for \((\mathrm{GL}_{n+1}, \mathrm{GL}_n)\) over a local field of positive characteristic
• Multiplicity one theorems for Fourier-Jacobi models
• Uniqueness of Rankin–Selberg Periods
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Une variante d'un r\'esultat de Aizenbud, Gourevitch, Rallis et Schiffmann
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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