Representations of the groups Sp(n,R) and Sp(n) in a U(n) basis
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Publication:3341064
DOI10.1063/1.525697zbMath0548.22010OpenAlexW2078587199MaRDI QIDQ3341064
Publication date: 1983
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525697
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Semisimple Lie groups and their representations (22E46)
Related Items (7)
Coherent states of the real symplectic group in a complex analytic parametrization. I. Unitary-operator coherent states ⋮ Coherent states of the real symplectic group in a complex analytic parametrization. II. Annihilation-operator coherent states ⋮ Boson representations of the real symplectic group and their applications to the nuclear collective model ⋮ Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)⊇U(3) basis ⋮ Infinitesimal operators and structure of the representations of the groups SO*(2n) and SO(2n) in a U(n) basis and of the groups SU*(2n) and SU(2n) in an Sp(n) basis ⋮ Infinitesimal operators of group representations in noncanonical bases ⋮ On representations of the groups Sp(n,1) and Sp(n)
Cites Work
- Representation for matrix elements of compact Lie groups
- Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups
- Structure and matrix elements of the degenerate series representations of U(p+q) and U(p,q) in a U(p)×U(q) basis
- Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. I
- Representations of the groups GL(n,R) and SU(n) in an SO(n) basis
- On the Symmetric Tensor Operators of the Unitary Groups
- On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)
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