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On some semi-spherical representations of an Hermitian symmetric pair of the tubular type. I: Study in the symmetric algebra. (English) Zbl 0499.22015


MSC:

22E46 Semisimple Lie groups and their representations
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References:

[1] HARISH-CHAMBRA, Représentations of Semi-simple Lie groups VI Amer. J. Math., 78, 564–628 (1956). · Zbl 0072.01702 · doi:10.2307/2372674
[2] HELGASON S., Differential Geometry and Symmetric Spaces, Academic Press, New-York and London, Smith and Eilenberg, 1962. · Zbl 0111.18101
[3] KOSTANT B., On the existence and irreducibility of certain series of representations, SummerSchool on Lie groups and their representations-Budapest 1971, London, Adam Hilger 1975.
[4] ROSSI H. and VERGNE M, Continuation analytique de la série discrète holomorphe-Lectures notes, 466, 198–225 (1975). · doi:10.1007/BFb0082208
[5] SCHMID W., Die randwerte holomorpher Funktionen auf hermitesch symmetrischen Raümen, Inventiones Math., 9, 61–80 (1969). · Zbl 0219.32013 · doi:10.1007/BF01389889
[6] WALLACH N.R., On the Unitarizability of Representations with Highest Weights, Lectures Notes 466, 226–231 (1975). · Zbl 0311.22008 · doi:10.1007/BFb0082209
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