Vector-coherent-state theory as a theory of induced representations

DOI10.1063/1.529106zbMath0746.17024OpenAlexW2094141740MaRDI QIDQ3987292

Joe Repka, D. J. Rowe

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529106

zbMATH Keywords

induced representations\(K\)-matrixvector-coherent-state

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (18)

The Racah–Wigner algebra and coherent tensors ⋮ Reproducing Kernels in Coherent States, Wavelets, and Quantization ⋮ Coherent state realizations of su(n+1) on the n-torus ⋮ Coherent state triplets and their inner products ⋮ A class of vector coherent states defined over matrix domains ⋮ Coherent state approach to electron nuclear dynamics with an antisymmetrized geminal power state ⋮ Resolution of missing label problems; a new perspective on K-matrix theory ⋮ Induced shift tensors in vector coherent state theory ⋮ Vector-coherent-state representations of so(5) in an so(3) basis ⋮ Representation of the five- and six-dimensional harmonic oscillators in a u(5)⊇so(5)⊇so(3) basis ⋮ Reproducing kernels and coherent states on Julia sets ⋮ Asymptotic Clebsch–Gordan coefficients ⋮ An algebraic algorithm for calculating Clebsch–Gordan coefficients; application to SU(2) and SU(3) ⋮ Branching rules for restriction of the Weil representations of Sp(n,R) to its maximal parabolic subgroup CM(n) ⋮ A general theorem on square-integrability: Vector coherent states ⋮ Representations of quantum superalgebra U q[gl(2|1) in a coherent state basis and generalization] ⋮ Differential Representations of the Lie Superalgebra C(n+1) ⋮ Vector coherent state theory of the generic representations of so(5) in an so(3) basis

Cites Work

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• Quantal phase factors accompanying adiabatic changes
• Boson representations of the real symplectic group and their applications to the nuclear collective model
• Vector coherent state representation theory
• Vector coherent state theory and its application to the orthogonal groups
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• New perspective on the U(n) Wigner-Racah calculus. I. Vector coherent state theory and construction of Gel'fand bases
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• A note on coherent state representations of Lie groups
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

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