On the uniqueness of conical vectors
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- by J. Lepowsky PDF
- Proc. Amer. Math. Soc. 57 (1976), 217-220 Request permission
Abstract:
Certain conical vectors in induced modules for semisimple symmetric Lie algebras have been determined in a previous paper. Here the uniqueness aspects of those results are proved in a simpler way, and a refinement of one of the earlier results is given.References
- Jacques Dixmier, Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII, Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974 (French). MR 0498737
- J. Lepowsky, On the Harish-Chandra homomorphism, Trans. Amer. Math. Soc. 208 (1975), 193–218. MR 376792, DOI 10.1090/S0002-9947-1975-0376792-7
- J. Lepowsky, Conical vectors in induced modules, Trans. Amer. Math. Soc. 208 (1975), 219–272. MR 376786, DOI 10.1090/S0002-9947-1975-0376786-1
- J. Lepowsky, Uniqueness of embeddings of certain induced modules, Proc. Amer. Math. Soc. 56 (1976), 55–58. MR 399195, DOI 10.1090/S0002-9939-1976-0399195-4
- Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Die Grundlehren der mathematischen Wissenschaften, Band 188, Springer-Verlag, New York-Heidelberg, 1972. MR 0498999
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 217-220
- MSC: Primary 17B20
- DOI: https://doi.org/10.1090/S0002-9939-1976-0409576-8
- MathSciNet review: 0409576