[1] |
M. Gell-Mann , Phys. Rev. , t. 125 , 1962 , p. 1097 . MR 138414 |
[2] |
L. Michel and L. Radicati : (a) Symmetry Principles at High Energy (Fifth Coral Gables Conférence, Benjamin , New-York , 1968 , p. 19 .) (b) Atti. Accad. Sci. Torino, Cl. Sci. Fis. Mat. Natur. , 1971 , p. 377 . |
[3] |
Evolution of Particle Physics (dedicated to E. Amaldi), Academic Press , New York , 1970 , p. 191 . |
[4] |
Ann. Phys. , t. 66 , 1971 , p. 758 . |
[5] |
The d-coefficients were introduced for SU (3), by M. Gell-Mann (réf. [1]) and Independently and for all SU (n), by L.C. Biedenharm , J. Math. Phys. , vol. 4 , 1963 , p. 436 . |
[6] |
V.I. Ogievetskii and I.V. Polubarinov , This is the oldest paper listing essentially all relations between the f-and d-coefficients for SU (3) (Sov. J. Nucl. Phys. , t. 4 , 1967 , p. 605 ). |
[7] |
L.M. Kaplan and M. Resnikoff , This paper gives a fairly complete set of relations for all SU (n) ( J. of Math. Phys. , t. 8 , 1967 , p. 2194 .) After this paper several authors have discussed this type of relations : amongst the others we quote A. Pais , S.P. Rosen , A.J. Macfarlane , A. Subery and P.H. Weisz . |
[8] |
C. Dublemond , This is to our knowledge the only paper where some relation are written in vector form ( Ann. of Phys. , t. 33 , 1965 , p. 214 ). |
[9] |
A study of the invariants and their values for all representations is contained in A.M. Perelemov and V.S. Popov , Sov. J. Nucl. Phys. , t. 3 , 1966 , p. 676 , and in J.D. Louck and L.C. Biedenharn , J. Math. Phys. , vol. 11 , 1970 , p. 2368 . |
[10] |
The concept of stratum used here is a simple example of that ( strate in French) defined by R. Thom ( L’Enseignement Mathématique , t. 8 , 1962 , p. 24 ). Zbl 0109.40002 · Zbl 0109.40002 |
[11] |
This result is due to D. Montgomery and C.T. Yang , For a review paper on the action of compact groups [see D. Montgomery , Differential Analysis ( Bombay Colloqum, 1964 , p. 43 )]. See also L. Michel . Zbl 0147.42302 · Zbl 0147.42302 |
[12] |
Non linear group actions, smooth action of compact Lie-groups on manifolds ( Statistical Mechanics and Field Theory, Israel University Press , Jerusalem , 1972 , p. 133 - 150 .) Zbl 0255.57019 · Zbl 0255.57019 |
[13] |
Geometrical aspects of symmetry breaking (Proceedings of the 3rd GIFT Seminar in Theoretical Physics, University of Madrid , 1972 p. 49 - 131 .) |