Kostant, Bertram On the tensor product of a finite and an infinite dimensional representation. (English) Zbl 0355.17010 J. Funct. Anal. 20, 257-285 (1975). Reviewer: Yu. A. Drozd Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 55 Documents MSC: 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 17B20 Simple, semisimple, reductive (super)algebras 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods Keywords:tensor product; irreducible finite dimensional representation; irreducible components; semisimple Lie algebra; Harish-Chandra module; group representation; finite composition series; irreducible components; infinitesimal character × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I., The structure of representations which are generated by highest weight vectors, J. Functional Analysis, 5, 1-9 (1971) · Zbl 0246.17008 [2] J. DieudonneAdvances in Math.; J. DieudonneAdvances in Math. [3] Humpreys, J., Introduction to Lie Algebras and Representation Theory, (Graduate Texts in Mathematics (1972), Springer-Verlag: Springer-Verlag New York/Berlin) · Zbl 0254.17004 [4] Kostant, B., A formula for the multiplicity of a weight, Trans. Amer. Math. Soc., 93, 53-73 (1959) · Zbl 0131.27201 [5] Kostant, B., Lie group representations on polynomial rings, Amer. J. Math., 85, 327-404 (1963) · Zbl 0124.26802 [6] Kostant, B., Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math., 74, 329-387 (1961) · Zbl 0134.03501 [7] Parthasarthy, K.; Rao, R. Rango; Varadarajan, V. S., Representations of complex semi-simple Lie groups and Lie algebras, Ann. of Math., 85, 383-429 (1967) · Zbl 0177.18004 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.