On the contraction of the discrete series of \(SU(1,1)\)

DOI10.5802/aif.1346zbMath0793.22005OpenAlexW1971406782MaRDI QIDQ685895

C. Cishahayo, Stephan De Bièvre

Publication date: 16 August 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_2_551_0

zbMATH Keywords

contractionPoincaré groupdiscrete series of representationspositive energy representation

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (8)

The contraction of the SU(1,1) discrete series of representations by means of coherent states ⋮ Unnamed Item ⋮ Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures ⋮ Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization ⋮ Contraction of compact semisimple Lie groups via Berezin quantization ⋮ A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) ⋮ Finite difference operators, pseudo-differential calculus and representations of Lie groups ⋮ Gaussian distributions on the space of symmetric positive definite matrices from Souriau's Gibbs state for Siegel domains by coadjoint orbit and moment map

Cites Work

• Phase space quantum mechanics on the anti-de Sitter spacetime and its Poincaré contraction
• Contractions of representations of de Sitter groups
• Contraction of Lie Groups
• Contractions of rotation groups and their representations
• On Contractions of Semisimple Lie Groups
• Poincare contraction of SU(1,1) Fock-Bargmann structure
• Representations of a semi-direct product by quantization
• Elementary Particles in a Curved Space
• Quantization and unitary representations
• On the Contraction of Groups and Their Representations
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