A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\)
DOI10.2996/kmj/kmj44302OpenAlexW3209346774MaRDI QIDQ2059561
Publication date: 14 December 2021
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/kodai-mathematical-journal/volume-44/issue-3/A-contraction-of-the-principal-series-representations-of-SL2mathbfR/10.2996/kmj/kmj44302.full
Heisenberg groupcoadjoint orbitsWeyl correspondencecontractions of Lie groups\(SL(2contractions of representations\mathbf{R})\)
Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)
Cites Work
- A contraction of the principal series by Berezin-Weyl quantization
- Coherent states and applications in mathematical physics.
- On the contraction of the discrete series of \(SU(1,1)\)
- Weyl quantization for principal series
- Weyl quantization for semidirect products
- Théorie de Mackey et méthode des orbites selon M. Duflo. (Mackey theory and orbit method according to M. Duflo)
- A contraction of SU(2) to the Heisenberg group
- On the distributions corresponding to bounded operators in the Weyl quantization
- An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
- Contractions of \(SU(2)\) to the Heisenberg group and Berezin calculus
- Deformation program for principal series representations
- On the analogy between real reductive groups and Cartan motion groups: contraction of irreducible tempered representations
- Contraction of compact semisimple Lie groups via Berezin quantization
- Contractions of group representations via geometric quantization
- Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization
- Contractions of representations of de Sitter groups
- Strong contraction of the representations of the three-dimensional Lie algebras
- Contractions of rotation groups and their representations
- On Contractions of Semisimple Lie Groups
- Harmonic Analysis in Phase Space. (AM-122)
- Quantification d'une orbite massive d'un groupe de Poincaré généralisé
- Transferring Fourier Multipliers from SU(2) to the Heisenberg Group
- The contraction of the SU(1,1) discrete series of representations by means of coherent states
- On the Contraction of Groups and Their Representations
- 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
This page was built for publication: A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\)
