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Primitive representations of the SL(3,R) algebra. (English) Zbl 0412.17010


MSC:

17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
22E70 Applications of Lie groups to the sciences; explicit representations
81T60 Supersymmetric field theories in quantum mechanics

Citations:

Zbl 0316.17004
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References:

[1] J. Dothan, M. Gell-Mann, and J. Ne’eman, Phys. Lett.,17, 148 (1965). · doi:10.1016/0031-9163(65)90279-9
[2] L. C. Biedenharn, R. J. Cusson, M. J. Han, and O. L. Weaver, Phys. Lett.,42B, 257 (1972).
[3] V. I. Ogievetsky, Lett. Nuovo. Cim.,8, 17 (1973); A. B. Borisov and V. I. Ogievetsky, Preprint JINR, E2-7684, Dubna (1974). · doi:10.1007/BF02891914
[4] I. M. Gel’fand and M. I. Graev, Izv. Akad. Nauk SSSR, Ser. Matem.,17, 189 (1953).
[5] E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra, Academic Press, New York (1959). · Zbl 0085.37905
[6] J. Schwinger, Quantum Theory of Angular Momentum, Academic Press, New York (1965). · Zbl 0178.28303
[7] É. Cartan, Lecons sur la Théorie des Spineurs, Paris (1938). · Zbl 0019.36301
[8] M. A. Naimark, Linear Representations of the Lorentz Group, Pergamon Press, London (1964). · Zbl 0137.31703
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