On the Representations of the Semisimple Lie Groups. II
- 1 December 1963
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 4 (12), 1449-1466
- https://doi.org/10.1063/1.1703926
Abstract
The explicit determination of the matrices of the generators of the unitary groups, SUn, is carried out and discussed in two alternative treatments: (a) by purely algebraic infinitesimal methods, and (b) by Young‐pattern techniques employing the Schwinger‐Bargmann boson operator methods. The implication of this result for a tableau calculus is discussed and a determination of the [λ] × [1] Wigner coefficient for all SUn is indicated.Keywords
This publication has 21 references indexed in Scilit:
- Irreducible representations of the ‘unitary symmetry’ groupProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Remark Concerning the Eigenvalues of Orbital Angular MomentumAmerican Journal of Physics, 1962
- Wigner Coefficients for the SGroup and some ApplicationsReviews of Modern Physics, 1962
- The harmonic oscillator and supermultiplet theory: (I) The single shell pictureNuclear Physics, 1962
- Group theory of harmonic oscillators (II). The integrals of Motion for the quadrupole-quadrupole interactionNuclear Physics, 1961
- Symplectic invariants and flowers' classification of shell model statesNuclear Physics, 1961
- On Accidental Degeneracy in Classical and Quantum MechanicsAmerican Journal of Physics, 1959
- On symplectic invariance of the energy matrix in a nuclear jN configurationNuclear Physics, 1959
- Studies in jj -coupling. I. Classification of nuclear and atomic statesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952
- Theoretical studies in nuclear structure. II. Nuclear d 2 , d 3 and d 4 configurations. Fractional parentage coefficients and central force matrix elementsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951