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On the uniqueness of conical vectors. (English) Zbl 0342.17005

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
Full Text: DOI
[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, On the Harish-Chandra homomorphism, Trans. Amer. Math. Soc. 208 (1975), 193 – 218. · Zbl 0311.17003
[3] J. Lepowsky, Conical vectors in induced modules, Trans. Amer. Math. Soc. 208 (1975), 219 – 272. · Zbl 0311.17002
[4] J. Lepowsky, Uniqueness of embeddings of certain induced modules, Proc. Amer. Math. Soc. 56 (1976), 55 – 58. · Zbl 0335.17004
[5] Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Springer-Verlag, New York-Heidelberg, 1972. Die Grundlehren der mathematischen Wissenschaften, Band 188. · Zbl 0265.22020
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