Representations of the groups Sp(n,R) and Sp(n) in a U(n) basis
- 1 February 1983
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (2), 224-232
- https://doi.org/10.1063/1.525697
Abstract
The explicit expressions for the infinitesimal operators and the (finite) matrix elements with respect to a U(n) basis are obtained for the representations of the most degenerate series of Sp(n,R) and for the irreducible unitary representations of Sp(n) with the highest weights (M,0,...,0).Keywords
This publication has 10 references indexed in Scilit:
- Structure and matrix elements of the degenerate series representations of U(p+q) and U(p,q) in a U(p)×U(q) basisJournal of Mathematical Physics, 1982
- Representations of the groups GL(n,R) and SU(n) in an SO(n) basisJournal of Mathematical Physics, 1981
- Representation for matrix elements of compact Lie groupsLetters in Mathematical Physics, 1980
- On the algebraic formulation of collective models III. The symplectic shell model of collective motionAnnals of Physics, 1980
- Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. IJournal of Mathematical Physics, 1979
- Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groupsJournal of Mathematical Physics, 1979
- Unitary declension of dynamical symmetries for the time-dependent harmonic oscillatorJournal of Mathematical Physics, 1979
- Sp(6, R) symmetry and α-breakup amplitudes of giant E2 excitations in light nucleiNuclear Physics A, 1978
- On the Symmetric Tensor Operators of the Unitary GroupsJournal of Mathematical Physics, 1972
- On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)Journal of Mathematical Physics, 1972