Contractions of Representations and Algebraic Families of Harish-Chandra Modules

DOI10.1093/imrn/rny146zbMath1484.22010arXiv1703.04028OpenAlexW2963996195MaRDI QIDQ5015567

Joseph Bernstein, Nigel Higson, Eyal Subag

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04028

zbMATH Keywords

Cartan motion groupscontraction of representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Group schemes (14L15)

Related Items (6)

Continuity of the Mackey-Higson bijection ⋮ On the analogy between real reductive groups and Cartan motion groups: contraction of irreducible tempered representations ⋮ Families of symmetries and the hydrogen atom ⋮ Mackey analogy as deformation of \(\mathcal{D}\)-modules ⋮ Algebraic families of groups and commuting involutions ⋮ Contractions of group representations via geometric quantization

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