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@article{FAA_1975_9_3_a7,
author = {A. I. Fomin},
title = {Quasisimple irreducible representations of the group $SL(3,\mathbb{R})$},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {67--74},
publisher = {mathdoc},
volume = {9},
number = {3},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1975_9_3_a7/}
}
A. I. Fomin. Quasisimple irreducible representations of the group $SL(3,\mathbb{R})$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 9 (1975) no. 3, pp. 67-74. http://geodesic.mathdoc.fr/item/FAA_1975_9_3_a7/
[1] Berezin F.A., “Pismo v redaktsiyu”, Trudy Mosk. matem. ob-va, XII, 1963, 453–466 | MR
[2] Gelfand I.M., Graev M.I., Vilenkin N.Ya., Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii, Fizmatgiz, M., 1962 | MR
[3] Gelfand I.M., Graev M.I., “Sledy unitarnykh predstavlenii veschestvennoi unimodulyarnoi gruppy”, DAN SSSR, 100:6 (1955), 1037–1040 | MR
[4] Gelfand I.M., Graev M.I., Pyatetskii-Shapiro I.I., Teoriya predstavlenii i avtomorfnye funktsii, Obobschennye funktsii, 6, Nauka, M., 1966 | MR
[5] Zhelobenko D.P., “Analiz neprivodimosti v klasse elementarnykh predstavlenii poluprostoi kompleksnoi gruppy Li”, Izv. AN SSSR, seriya matem., 32 (1968), 108–133 | MR
[6] Zhelobenko D.P., “Simmetriya v klasse elementarnykh predstavlenii poluprostoi kompleksnoi gruppy Li”, Funkts. analiz, 1:2 (1967), 15–38 | MR
[7] Zhelobenko D.P., “Operatsionnoe ischislenie na poluprostoi kompleksnoi gruppe Li”, Izv. AN SSSR, seriya matem., 33 (1969), 931–973 | MR
[8] Kostant B., “Suschestvovanie i neprivodimost nekotorykh serii predstavlenii”, Matematika, 14:2 (1970), 102–116 | Zbl
[9] Fomin A.I., “O privodimosti elementarnykh predstavlenii grupp $SL(n,\mathbf R)$ i $GL(n,\mathbf R)$”, Funkts. analiz, 8:2 (1974), 95–96 | MR | Zbl
[10] Fomin A.I., Shapovalov N.N., “Ob odnom svoistve kharakterov neprivodimykh predstavlenii poluprostykh grupp Li”, Funkts. analiz, 8:3 (1974), 87–88 | MR | Zbl
[11] Harish-Chandra, “Representations of a semisimple Lie group on a Banach space”, Trans. Amer. Math. Soc., 75, 1953, 185–243 | DOI | MR | Zbl
[12] Harish-Chandra, “Representations of semisimple Lie groups. II”, Trans. Amer. Soc., 76, 1954, 26–65 | DOI | MR | Zbl
[13] Harish-Chandra, “Representations of semisimple Lie groups. III”, Trans. Amer. Math. Soc., 76, 1954, 234–253 | DOI | MR | Zbl
[14] Harish-Chandra, “The characters of semisimple Lie groups”, Trans. Amer. Math., 83, 1956, 98–163 | DOI | MR | Zbl
[15] Harish-Chandra, “Invariant eigendistri but ions on a semisimple Lie group”, Trans. Amer. Math. Soc., 119, 1965, 457–508 | DOI | MR | Zbl
[16] Hirai T., “The characters of some induced representations of semisimple Lie groups”, J. Math. Kyoto Univ., 8 (1968), 313–363 | MR | Zbl
[17] Hirai T., “Invariant eigendistributions of Laplace operators on real simple Lie group. I. Case of $SU(p,q)$”, Japan J. Math., 39 (1970), 1–68 | DOI | MR | Zbl
[18] Hirai T., “Some remarks on invariant eigendistributions on semisimple Lie groups”, J. Math. Kyoto Univ., 12 (1972), 393–411 | MR | Zbl
[19] Knapp A.W. and Stein E.M., “Interwining operators for semisimple groups”, Ann. Math., 93:3 (1971), 489–578 | DOI | MR | Zbl
[20] Lepowsky J., “Algebraic results on representations of semisimple Lie groups”, Trans. Amer. Math. Soc., 176, 1973, 1–44 | DOI | MR | Zbl
[21] Lepowsky J. and Wollach N., “Finite- and infinite-dimensional representation of linear semisimple groups”, Trans. Amer. Math. Soc., 184, 1973, 223–246 | MR
[22] Sciffmann G., “Integrales d'entrelacement”, C. r. Acad. Sei. Paris, 266 (1968), 47–48, 859–861 | MR
[23] Tsuchikawa M., “On the representations of $SL(3,\mathbf C)$”, Proc. Japan Acad., 44:3 (1968), 127–129 | DOI | MR | Zbl