Uniqueness of embeddings of certain induced modules

Lepowsky, J.

doi:10.1090/S0002-9939-1976-0399195-4

Uniqueness of embeddings of certain induced modules
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by J. Lepowsky

Proc. Amer. Math. Soc. 56 (1976), 55-58

DOI: https://doi.org/10.1090/S0002-9939-1976-0399195-4

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Abstract:

A theorem of D.-N. Verma on the uniqueness of embeddings of certain algebraically induced modules is generalized from the case of Borel subalgebras of semisimple Lie algebras to the case of arbitrary parabolic subalgebras.

References

Jacques Dixmier, Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII, Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974 (French). MR 0498737
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, On the uniqueness of conical vectors, Proc. Amer. Math. Soc. 57 (1976), no. 2, 217–220. MR 409576, DOI 10.1090/S0002-9939-1976-0409576-8
Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0143793

Bibliographic Information

Journal: Proc. Amer. Math. Soc. 56 (1976), 55-58
DOI: https://doi.org/10.1090/S0002-9939-1976-0399195-4
MathSciNet review: 0399195