On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
Funkcionalʹnyj analiz i ego priloženiâ, Tome 6 (1972) no. 4, pp. 65-70.

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N. N. Shapovalov. On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra. Funkcionalʹnyj analiz i ego priloženiâ, Tome 6 (1972) no. 4, pp. 65-70. http://geodesic.mathdoc.fr/item/FAA_1972_6_4_a6/

[1] Bernshtein I.N., Gelfand I.M., Gelfand S.I., “Struktura predstavlenii, porozhdennykh vektorami starshego vesa”, Funkts. analiz, 5:1 (1971), 1–9 | Zbl

[2] Gelfand I.M., Kirillov A.A., “Struktura tela Li, svyazannogo s poluprostoi rasschepimoi algebroi Li”, Funkts. analiz, 3:1 (1969), 7–26 | MR

[3] Parthasarathy K.R., Ranga Rao R., Varadarajan V.S., “Rep resentations of complex semisimple Lie groups and Lie algebras”, Ann. Math., 85 (1967), 383–429 | DOI | MR | Zbl

[4] Teoriya algebr Li. Topologiya gruppy Li, IL, M., 1962

[5] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR