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On the canonical \(k\)-types in the irreducible unitary \(\mathfrak g\)-modules with non-zero relative cohomology. (English) Zbl 0442.22010

MSC:
22E46 Semisimple Lie groups and their representations
20J99 Connections of group theory with homological algebra and category theory
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References:
[1] Borel, A., Wallach, W.: Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Mathematics Studies 94, Princeton University Press 1980 · Zbl 0443.22010
[2] Parthasarathy, R.: Dirac Operator and the discrete series. Ann. of Math.,96, 1-30 (1972) · Zbl 0249.22003
[3] Parthasarathy, R.: Criteria for the uniterizability of some highest weight modules. In press (1980) · Zbl 0434.22011
[4] Parthasarathy, K.R., Ranga Rao, R., Varadarajan, V.S.: Representations of complex semi-simple Lie groups and Lie algebras. Ann. of Math.,85, 383-429 (1967) · Zbl 0177.18004
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