Multiplicity one theorems

From MaRDI portal
Publication:601874

DOI10.4007/annals.2010.172.1413zbMath1202.22012arXiv0709.4215OpenAlexW1986485131MaRDI QIDQ601874

Gérard Schiffmann, Dmitry Gourevitch, Stephen Rallis, Avraham Aizenbud

Publication date: 29 October 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4215




Related Items (85)

On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjectureKnapp-Stein type intertwining operators for symmetric pairsRestriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)A vanishing Ext-branching theorem for \((\mathrm{GL}_{n+1}(F),\mathrm{GL}_n(F)\)The local Gan-Gross-Prasad conjecture for \(U(3)\times U(2)\): the non-generic caseRefined global Gan-Gross-Prasad conjecture for Bessel periodsCorrespondence of models under local theta liftingMultiplicity theorems modulo \(p\) for GL\(_2\)(Q\(_p\))Bessel models for \(\mathrm{GSp}(4)\): Siegel vectors of square-free levelInvariant generalized functions supported on an orbitOn Twisted Gelfand Pairs Through Commutativity of a Hecke AlgebraDescents of unipotent cuspidal representations of finite classical groupsMultiplicity one theorem for \((\mathrm{GL}_{n+1}, \mathrm{GL}_n)\) over a local field of positive characteristicMultiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\)Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitairesDefinite orthogonal modular forms: computations, excursions, and discoveriesOn the local Langlands correspondence and Arthur conjecture for even orthogonal groupsMultiplicity one theorems over positive characteristicThe unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. IRelative trace formulae toward Bessel and Fourier-Jacobi periods on unitary groupsExt-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\)Wavefront sets and descent method for finite unitary groupsUniqueness of certain Fourier-Jacobi models over finite fieldsStrong Gelfand pairs of SL(2,p)Invariant functionals on Speh representationsRelative trace formulae and the Gan-Gross-Prasad conjecturesAutomorphic descent for symplectic groups: The branching problems and L -functionsA reciprocal branching problem for automorphic representations and global Vogan packetsA converse theorem for split \(\mathrm{SO}_{2l}\) over finite fieldsContragredients and a multiplicity one theorem for general spin groupsOn arithmetic fundamental lemmasThe Gelfand–Graev representation of classical groups in terms of Hecke algebrasMultiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch)Descents of unipotent representations of finite unitary groupsCommutative Schur rings over symmetric groups.Whittaker-Shintani functions for general linear groups over \(p\)-adic fieldsFinite multiplicity theorems for induction and restrictionOn representations of \(\mathrm{GL}(n)\) distinguished by \(\mathrm{GL}(n - 1)\) over a \(p\)-adic fieldA partial analog of the integrability theorem for distributions on \(p\)-adic spaces and applicationsThe unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. IIUniqueness of Fourier-Jacobi models: the Archimedean caseComplementary results on the Rankin-Selberg gamma factors of classical groupsOn local descent for unitary groupsA product of tensor product \(L\)-functions of quasi-split classical groups of Hermitian typeFourier transform and the global Gan-Gross-Prasad conjecture for unitary groupsA local converse theorem for 𝑈₂ᵣ₊₁Recent progress on the Gross-Prasad conjectureBranching laws for classical groups: the non-tempered caseUniqueness of Ginzburg-Rallis models: The Archimedean caseThe action of a mirabolic subgroup on a symmetric varietyAutomorphic period and the central value of Rankin-Selberg L-functionThe local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic caseLocal root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic caseCOMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPSOn local descent to metaplectic groups and local theta correspondenceOn central critical values of the degree four \(L\)-functions for \(\mathrm{GSp}(4)\): a simple trace formulaPeriods of automorphic forms: the case of \((\mathrm{U}_{n+1}\times \mathrm{U}_{n},\mathrm{U}_{n})\)On relative trace formulae: the case of Jacquet-RallisThe unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\)On the gcd of local Rankin–Selberg integrals for even orthogonal groupsLinear forms, algebraic cycles, and derivatives of \(L\)-seriesUniqueness of Bessel models: the archimedean caseOn the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjectureGeneralized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag.Homological multiplicities in representation theory of \(p\)-adic groupsRelative Character Identities and Theta CorrespondenceBessel Descents and Branching ProblemsHomological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability\((\text O(V\oplus F),\text O(V))\) is a Gelfand pair for any quadratic space \(V\) over a local field \(F\)Local periods for discrete series representationsThe Gross-Prasad conjecture and local theta correspondenceUniqueness of twisted linear periods and twisted Shalika periodsThe local Gan-Gross-Prasad conjecture for \(U(n + 1) \times U(n)\): a non-generic caseThe generalized linear periodsGelfand criterion and multiplicity one results for \(\mathrm{GL}_n\) over finite chain ringsMultiplicity one theorems: the Archimedean caseGamma factors and converse theorems for classical groups over finite fieldsStrong Gelfand pairs of symmetric groupsComplement to the appendix of: “On the Howe duality conjecture”On the global Gan-Gross-Prasad conjecture for unitary groups: approximating smooth transfer of Jacquet-RallisStrong Gelfand subgroups of F ≀ SnOn the arithmetic fundamental lemma in the minuscule caseThe non-tempered \(\theta_{10}\) Arthur parameter and Gross-Prasad conjecturesExceptional poles of local \(L\)-functions for \textit{GSp}(4) with respect to split Bessel modelsDistinguished representations of \(\mathrm{GL}_n(\mathbb C)\)



Cites Work


This page was built for publication: Multiplicity one theorems