Mackey analogy as deformation of \(\mathcal{D}\)-modules

DOI10.1007/s00208-021-02332-1OpenAlexW4205720948MaRDI QIDQ2697565

Shilin Yu

Publication date: 12 April 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00240

zbMATH Keywords

\(\mathcal{D}\)-modulestempered representationsHarish-Chandra modulesConnes-Kasparov isomorphismMackey-Higson-Afgoustidis bijection

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items (1)

On the analogy between real reductive groups and Cartan motion groups: contraction of irreducible tempered representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Localization of cohomological induction
• Singularities of closures of K-orbits on flag manifolds
• The Higson-Mackey analogy for finite extensions of complex semisimple groups
• Quantization of line bundles on Lagrangian subvarieties
• Classification of irreducible tempered representations of semisimple groups. I
• Special \(K\)-types, tempered characters and the Beilinson-Bernstein realization
• The algebraic structure of the representation of semisimple Lie groups. I
• Representations of real reductive Lie groups
• Models of representations of compact Lie groups
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• The Connes-Kasparov conjecture for almost connected groups and for liner \(p\)-adic groups
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Equivariant deformation quantization and coadjoint orbit method
• On the analogy between real reductive groups and Cartan motion groups: the Mackey-Higson bijection
• On the analogy between real reductive groups and Cartan motion groups: a proof of the Connes-Kasparov isomorphism
• Quantization of complex Lagrangian submanifolds
• A class of operator algebras which are determined by groups
• On the restriction of Zuckerman’s derived functor modules Aq(λ) to reductive subgroups
• Localization for Derived Categories of (, K)-Modules
• Mackey analogy via 𝒟-modules for SL(2, ℝ)
• Contractions of Representations and Algebraic Families of Harish-Chandra Modules
• Algebraic Families of Harish-Chandra Pairs
• Lie Group Representations on Polynomial Rings
• Imprimitivity for Representations of Locally Compact Groups I
• On the Contraction of Groups and Their Representations

This page was built for publication: Mackey analogy as deformation of \(\mathcal{D}\)-modules