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Algebraic Families of Harish-Chandra Pairs

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Publication:5015581
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DOI10.1093/imrn/rny147zbMath1481.22013arXiv1610.03435OpenAlexW2963398947WikidataQ129728609 ScholiaQ129728609MaRDI QIDQ5015581

Nigel Higson, Joseph Bernstein, 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/1610.03435


zbMATH Keywords

Harish-Chandra modulescontractions of Lie groupsalgebraic families


Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Group schemes (14L15)


Related Items (7)

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 ⋮ Mackey analogy via 𝒟-modules for SL(2, ℝ)







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