Shapovalov, N. N. On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra. (English. Russian original) Zbl 0283.17001 Funct. Anal. Appl. 6, 307-312 (1973); translation from Funkts. Anal. Prilozh. 6, No. 4, 65-70 (1972). Cited in 4 ReviewsCited in 73 Documents MSC: 17B35 Universal enveloping (super)algebras 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 17B20 Simple, semisimple, reductive (super)algebras × Cite Format Result Cite Review PDF Full Text: DOI References: [1] I. N. Bernshtein, I. M. Gel’fand, and S. I. Gel’fand, ”The structure of representations generated by vectors of the highest weight,” Funktsional. Analiz i ego Prilozhen.,5, No. 1, 1-9 (1971). · Zbl 0246.17008 · doi:10.1007/BF01075841 [2] I. M. Gel’fand and A. A. Kirillov, ”The structure of the Lie field connected with a semisimple decomposable Lie algebra,” Funktsional. Analiz i ego Prilozhen.,3, No. 1, 7-26 (1969). [3] K. R. Parthasarathy, R. Ranga Rao, and V. S. Varadarajan, ”Representations of complex semisimple Lie groups and Lie algebras,” Ann. Math.,85, 383-429 (1967). · Zbl 0177.18004 · doi:10.2307/1970351 [4] Theory of Lie Algebras. Topology of Lie Groups [in Russian], IL, Moscow (1962). [5] N. Jacobson, Lie Algebras, Interscience, New York (1962). 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.