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Uniqueness of embeddings of certain induced modules. (English) Zbl 0335.17004

##### MSC:
 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 17B35 Universal enveloping (super)algebras 16Gxx Representation theory of associative rings and algebras 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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##### References:
 [1] Универсал$$^{\приме}$$ные обертывающие алгебры., Издат. ”Мир”, Мосцощ, 1978 (Руссиан). Транслатед фром тхе Френч бы Ју. А. Бахтурин; Едитед бы Д. П. Žелобенко. [2] J. Lepowsky, Conical vectors in induced modules, Trans. Amer. Math. Soc. 208 (1975), 219 – 272. · Zbl 0311.17002 [3] J. Lepowsky, On the uniqueness of conical vectors, Proc. Amer. Math. Soc. 57 (1976), no. 2, 217 – 220. · Zbl 0342.17005 [4] Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons), New York-London, 1962. · Zbl 0121.27504
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