Invariant distributions on non-distinguished nilpotent orbits with application to the Gelfand property of (GL(2n,R),Sp(2n,R))

zbMath1252.22007arXiv0810.1853MaRDI QIDQ3225758

Eitan Sayag, Avraham Aizenbud

Publication date: 22 March 2012

Full work available at URL: https://arxiv.org/abs/0810.1853

zbMATH Keywords

symplectic groupmultiplicity onesymmetric pairinvariant distributionco-isotropic sub-varietynon-distinguished orbits

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Operations with distributions and generalized functions (46F10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation theory of groups (20C99)

Related Items (4)

Invariant functionals on Speh representations ⋮ Existence of Klyachko models for \(\mathrm{GL}(n,\mathbb R)\) and \(\mathrm{GL}(n,\mathbb C)\) ⋮ A partial analog of the integrability theorem for distributions on \(p\)-adic spaces and applications ⋮ Cohomologically induced distinguished representations and cohomological test vectors

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