Diagrammatic Technique for Constructing Matrix Elements
- 1 December 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (12), 3420-3427
- https://doi.org/10.1063/1.1665143
Abstract
A diagrammatic technique is presented for computing the matrix elements of the generators of the unitary, orthogonal, symplectic, and symmetric groups (An, Dn, Bn, Cn, and Sn) within any of their unitary irreducible representations. Examples are worked out.Keywords
This publication has 8 references indexed in Scilit:
- Spin Representations of the Orthogonal GroupsJournal of Mathematical Physics, 1970
- Construction of Weight Spaces for Irreducible Representations of An, Bn, Cn, DnJournal of Mathematical Physics, 1970
- A classification of the unitary irreducible representations ofSO 0(N, 1)Communications in Mathematical Physics, 1968
- A pattern calculus for tensor operators in the unitary groupsCommunications in Mathematical Physics, 1968
- Clebsch-Gordan coefficients for the unitary, orthogonal and symplectic groups and Clebsch-Gordan series for the unitary groupAmerican Mathematical Society Translations: Series 2, 1968
- Branching Theorem for the Symplectic GroupsJournal of Mathematical Physics, 1967
- On the Representations of the Semisimple Lie Groups. IIJournal of Mathematical Physics, 1963
- On the construction of irreducible representations of the symmetric groupMathematical Proceedings of the Cambridge Philosophical Society, 1961