On the Regge symmetries of the symbols of
Annales de l'I.H.P. Physique théorique (1967)
- Volume: 7, Issue: 4, page 353-366
- ISSN: 0246-0211
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top- [1] T. Regge, Nuovo Cim., t. 10, 1958, p. 296.
- [2] J. Schwinger, unpublished, 1952. U. S. Atom. Energy Comm. NYO-3071 (Reprinted in Quantum Theory of Angular Momentum, edited by L. C. Biedenharn and H.Van Dam. Academic Press, 1965).
- V. Bargmann, Rev. Mod. Phys., t. 34, 1962, p. 829. Some acquaintance with these beautiful papers is expected from the reader. Zbl0119.43705MR143478
- [4] J.R. Derome, J. Math. Phys., t. 7, 1966, p. 612. It is proved in this paper that the 3j symbols of any compact group do have the class I symmetries except when the three representations are equivalent. In that case a general criterion for their existence and a counter example are given. Zbl0163.22703MR189620
- [5] Another instance of this property can be found in A. J. DRAGT, J. Math. Phys., t. 6, 1965, p. 533, section 6 B, in a somewhat different context though.
- [7] J.R. Derome, Orsay preprint, TH/138.
- [8] The Lie algebra SO*(2n) , is described in S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962, p. 341.