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Étude du groupe SL(3, C) et quelques applications. (French) Zbl 0243.22012

MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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[1] M. Flato et D. Sternheimer , J. Math. Phys. , t. 7 , n^\circ 11 , 1966 , p. 1932 . Zbl 0168.23701 · Zbl 0168.23701 · doi:10.1063/1.1704879
[2] I.M. Guelfand et M.I. Graev , Trudy Moskov, obsc. 8 , 1959 , p. 321 - 390 et AMST , vol. 37 , série 2 .
[3] F. Bruhat , Thèse , Gauthier-Villars , 1956 .
[4] G.W. Mackey , Induced representations of locally compact groups I . Ann. Math. , t. 55 , 1952 , p. 101 - 140 . MR 44536 | Zbl 0046.11601 · Zbl 0046.11601 · doi:10.2307/1969423
[5] G.W. Mackey , Induced representations of locally compact groups II . Zbl 0051.01901 · Zbl 0051.01901 · doi:10.2307/1969786
[6] I.M. Guelfand et M.A. Naimark , Unitare Darstellungen der Klassischen Gruppen , Akademie Verlag , Berlin , 1957 . MR 85262 | Zbl 0077.03405 · Zbl 0077.03405
[7] Bourbaki , livre VI , chap. 2. · Zbl 0115.04903
[8] Bourbaki , livre . · Zbl 0026.38902
[9] Georges Claude , Représentations induites . Séminaires de l’Institut Henri Poincaré .
[10] I.M. Guelfand et M.A. Naimark , Mathematitchesky Sbormk , t. 21 , n^\circ 63 , 1947 , p. 405 - 434 ; AMST , série 1 , vol. 9 . MR 23246
[11] Fronsdal , The representations of SL(n, C), ICTP 66/51 .
[12] Rülh , Ruegg et Santhaman , C. E. R. N. TH. 709 , 1966 .
[13] Jacobson , Lie Algebras , Interscience Publishers , New York , London , 1962 . Zbl 0121.27504 · Zbl 0121.27504
[14] Rülh , C. E. R. N. 65 1670/5 TH. 626 .
[15] M.A. Naimark , Description of all irreducible representations of classical groups , AMST , ( 2 ), vol. 9 .
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