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

DOI10.1215/00127094-2019-0071zbMath1441.22024arXiv1808.09525OpenAlexW3005216821MaRDI QIDQ2178458

Alexandre Afgoustidis

Publication date: 11 May 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09525

zbMATH Keywords

real reductive groupsCartan motion grouptempered representationscontractions of Lie groupsMackey analogydeformation of representationsMackey-Higson bijection

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (max. 100)

Continuity of the Mackey-Higson bijection ⋮ The Baum–Connes conjecture: an extended survey ⋮ The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras ⋮ Mackey analogy via 𝒟-modules for SL(2, ℝ) ⋮ A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\)

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