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Multiplicity free subgroups of compact connected Lie groups. (English) Zbl 0322.22011

22E10 General properties and structure of complex Lie groups
22E15 General properties and structure of real Lie groups
22E60 Lie algebras of Lie groups
22E20 General properties and structure of other Lie groups
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[1] H.Boerner, Darstellungen von Gruppen. Berlin-G?ttingen-Heidelberg 1955.
[2] A. Borel etJ. Siebenthal, Les sous-groupes ferm?s de rang maximum des groupes de Lie clos. Comment. Math. Helv.23, 200-221 (1949). · Zbl 0034.30701
[3] E. B.Dynkin, The maximal subgroups of the classical groups. Transl. Amer. Math. Soc. ser. 2, vol 6 (1957). · Zbl 0077.03403
[4] R. Godement, A theory of spherical functions. Trans. Amer. Math. Soc.73, 496-556 (1952). · Zbl 0049.20103
[5] F. E. Goldrich andE. P. Wigner, Condition that all irreducible representations of a compact Lie group, if restricted to a subgroup, contain no representation more than once. Canad. J. Math.24, 432-438 (1972). · Zbl 0235.22021
[6] G.Hochschild, The structure of Lie groups. San Francisco, London, Amsterdam 1965. · Zbl 0131.02702
[7] J. E.Humphreys, Introduction to Lie algebras and representation theory. New York-Heidelberg-Berlin 1972. · Zbl 0254.17004
[8] N.Jacobson, Lie algebras. New York-London-Sidney 1962. · Zbl 0121.27504
[9] M. Kr?mer, ?ber das Verhalten endlicher Untergruppen bei Darstellungen kompakter Liegruppen. Invent. Math.16, 15-39 (1972). · Zbl 0229.22023
[10] M.Kr?mer, ?ber Untergruppen als Isotropiegruppen bei linearen Aktionen. To appear.
[11] J.-P.Serre, Alg?bres de Lie semi-simples complexes. New York-Amsterdam 1966. · Zbl 0144.02105
[12] J.Tits, Tabellen zu den einfachen Liegruppen und ihren Darstellungen. Berlin-Heidelberg-New York 1967. · Zbl 0166.29703
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