Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs

DOI10.1007/s00029-016-0276-4zbMath1392.22006arXiv1501.01479OpenAlexW2963324905WikidataQ59460079 ScholiaQ59460079MaRDI QIDQ730331

Dmitry Gourevitch, Avraham Aizenbud, Andrei Minchenko

Publication date: 27 December 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01479

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Sheaves of differential operators and their modules, (D)-modules (32C38) Momentum maps; symplectic reduction (53D20) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Compactifications; symmetric and spherical varieties (14M27)

Related Items

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture, Erratum to: ``Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture, A generalization of the Kobayashi–Oshima uniformly bounded multiplicity theorem, Representations of reductive groups distinguished by symmetric subgroups, On the regularity of \(D\)-modules generated by relative characters, \(\mathfrak{z}\)-finite distributions on \(p\)-adic groups, Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations, Family of 𝒟-modules and representations with a boundedness property, Dimension of the space of intertwining operators from degenerate principal series representations, GENERALIZED ZETA INTEGRALS ON CERTAIN REAL PREHOMOGENEOUS VECTOR SPACES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The wave front set of the Fourier transform of algebraic measures
• Asymptotic behavior of matrix coefficients of admissible representations
• \(\mathfrak{z}\)-finite distributions on \(p\)-adic groups
• Multiplicity one theorem for \((\text{GL}_{n+1}({\mathbb{R}}), \text{GL}_{n} ({ \mathbb{R}}))\)
• On the maximally overdetermined system of linear differential equations. I
• On the desingularization of the unipotent variety
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• A partial analog of the integrability theorem for distributions on \(p\)-adic spaces and applications
• Classification of finite-multiplicity symmetric pairs
• Vanishing of certain equivariant distributions on spherical spaces
• On an analogue of the Ichino-Ikeda conjecture for Whittaker coefficients on the metaplectic group
• Finite multiplicity theorems for induction and restriction
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Sur certains groupes d'opérateurs unitaires
• Multiplicity bounds and the subrepresentation theorem for real spherical spaces
• Vanishing of Certain Equivariant Distributions onp-Adic Spherical Spaces, and Nonvanishing of Spherical Bessel Functions
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• Schwartz Functions on Nash Manifolds
• The Integrability of the Characteristic Variety
• Finiteness theorem for holonomic systems of micro-differential equations
• Periods and harmonic analysis on spherical varieties
• The real Chevalley involution
• Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group
• Invariant Eigendistributions on a Semisimple Lie Group
• Invariant eigendistributions on semisimple Lie groups