Branching laws for classical groups: the non-tempered case

DOI10.1112/S0010437X20007496zbMath1470.11126arXiv1911.02783OpenAlexW2988065024WikidataQ114847450 ScholiaQ114847450MaRDI QIDQ5148394

Gross, Benedict H., Dipendra Prasad, Gan, Wee Teck

Publication date: 4 February 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.02783

zbMATH Keywords

\(L\)-functionsrepresentation theoryclassical groupscentral \(L\)-values\(L\)-packetsperiod integralsepsilon factors\(L\)-parametersGan-Gross-Prasad conjecturesA-packetsA-parameterslocal branching lawsrelevant pair of A-parameters

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (17)

On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture ⋮ Gross-Prasad periods for reducible representations ⋮ Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case) ⋮ Relations between cusp forms sharing Hecke eigenvalues ⋮ Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups ⋮ Ext-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\) ⋮ Spherical varieties, functoriality, and quantization ⋮ On local zeta-integrals for \(\mathrm{GSp}(4)\) and \(\mathrm{GSp}(4) \times \mathrm{GL}(2)\) ⋮ Automorphic descent for symplectic groups: The branching problems and L -functions ⋮ Twisted GGP problems and conjectures ⋮ Bessel Descents and Branching Problems ⋮ Homological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability ⋮ Cyclic representations of general linear \(p\)-adic groups ⋮ The local Gan-Gross-Prasad conjecture for \(U(n + 1) \times U(n)\): a non-generic case ⋮ On the Hecke-algebraic approach for general linear groups over a \(p\)-adic field ⋮ Annihilator varieties of distinguished modules of reductive Lie algebras ⋮ Linear periods for unitary representations

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