Induced shift tensors in vector coherent state theory
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Publication:4836956
DOI10.1063/1.531099zbMath0826.22024OpenAlexW2011043004MaRDI QIDQ4836956
Publication date: 22 November 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531099
decompositionmatrix elementsClebsch-Gordan coefficientsshift operatorscompact semisimple Lie groupstensor products of irreducible representationsrepresentations of Lie algebras
Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Coherent states (81R30) Lie algebras of Lie groups (22E60)
Related Items (5)
The Racah–Wigner algebra and coherent tensors ⋮ Coherent state triplets and their inner products ⋮ An algebraic algorithm for calculating Clebsch–Gordan coefficients; application to SU(2) and SU(3) ⋮ Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases ⋮ Vector coherent state theory of the generic representations of so(5) in an so(3) basis
Cites Work
- Quantum group structure in the Fock space resolutions of ŝl(n) representations
- The discrete series of \(Sp(n,\mathbb{R})\)
- Representations of Semisimple Lie Groups, V
- On a Hilbert space of analytic functions and an associated integral transform part I
- A rotor expansion of the su(3) Lie algebra
- Implementation of the U(n) tensor operator calculus in a vector Bargmann Hilbert space
- A new vector coherent-state construction of SU(3) supset SO(3) Wigner coefficients
- Boson representations of the real symplectic group and their applications to the nuclear collective model
- A resolution of the SU(3) outer multiplicity problem and computation of Wigner coefficients for SU(3)
- Vector coherent state theory and its application to the orthogonal groups
- New perspective on the U(n) Wigner-Racah calculus. II. Elementary reduced Wigner coefficients for U(n)
- Vector coherent state constructions of U(3) symmetric tensors and their SU(3)⊇SU(2)×U(1) Wigner coefficients
- Screening and vertex operators for u(n)
- Vector-coherent-state theory as a theory of induced representations
- Vector-coherent-state representations of so(5) in an so(3) basis
- Wigner and Racah coefficients for SU3
- A new generalization of vector-coherent state theory for the SO(5)U(2) proton-neutron quasispin group
- A double rotor coherent state construction of the Wigner supermultiplet SU(4) contains/implies SU(2)*SU(2)
- Structure of certain induced representations of complex semisimple Lie algebras
- Canonical Unit Adjoint Tensor Operators in U(n)
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