Parthasarathy, R. Criteria for the unitarizability of some highest weight modules. (English) Zbl 0434.22011 Proc. Indian. Acad. Sci., Math. Sci. 89, 1-24 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 42 Documents MSC: 22E46 Semisimple Lie groups and their representations 22D10 Unitary representations of locally compact groups Keywords:spin module; formal Dirac operator; parabolic subalgebra; noncompact roots; linear real semisimple Lie group; irreducible highest weight module; unitarizable; infinitesimal character PDFBibTeX XMLCite \textit{R. Parthasarathy}, Proc. Indian Acad. Sci., Math. Sci. 89, 1--24 (1980; Zbl 0434.22011) Full Text: DOI References: [1] Enright T J and Varadarajan V S 1975Ann. Math. 102 1 · Zbl 0304.22011 · doi:10.2307/1970970 [2] Hotta R and Wallach N R 1975Osaka J. Math. 12 419 [3] Parthasarathy R 1972Ann. Math. 96 1 · Zbl 0249.22003 · doi:10.2307/1970892 [4] Parthasarathy R 1977Math. Ann. 226 1 · Zbl 0374.17002 · doi:10.1007/BF01391217 [5] Parthasarathy R 1978Comp. Math. 36 53 [6] Parthasarathy K R, Ranga Rao R and Varadarajan V S 1967Ann. Math. 85 383 · Zbl 0177.18004 · doi:10.2307/1970351 [7] Schmid W 1975Inventiones Math. 30 47 · Zbl 0324.22007 · doi:10.1007/BF01389847 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.