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On the cyclicity of vectors associated with Duflo involutions

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Non-Commutative Harmonic Analysis and Lie Groups

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References

  1. D. Barbasch and D.A. Vogan (to appear)

    Google Scholar 

  2. J.N. Bernstein and S.I. Gelfand (1980) Tensor products of finite and infinite dimensional representations of semisimple Lie algebras. Compos Math 41:245–285

    MathSciNet  MATH  Google Scholar 

  3. J. Dixmier (1974) Algèbres enveloppantes. Cahiers Scientifiques, XXXVII, Gauthier-Villars, Paris

    Google Scholar 

  4. O. Gabber and A. Joseph (1981) The Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Compos Math 43:107–131

    MathSciNet  MATH  Google Scholar 

  5. O. Gabber and A. Joseph (1981) Towards the Kazhdan-Lusztig conjecture. Ann Ec Norm Sup 14:261–302

    MathSciNet  MATH  Google Scholar 

  6. J.C. Jantzen (1979) Moduln mit einem höchsten Gewicht. Springer, Berlin Heidelberg New York, LN 750

    MATH  Google Scholar 

  7. A. Joseph (1979) Dixmier's problem for Verma and principal series submodules. J Lond Math Soc 20:193–204

    Article  MATH  Google Scholar 

  8. A. Joseph (1979) W-module structure in the primitive spectrum of the enveloping algebra of a semi-simple Lie algebra. Springer, Berlin Heidelberg New York, LN 728, pp 116–135

    Google Scholar 

  9. A. Joseph (1980) Goldie rank in the enveloping algebra of a semisimple Lie algebra, I, II, III. J Algebra 65:269–283, 284–306; J Algebra 73 (1981):295–326

    Article  MathSciNet  MATH  Google Scholar 

  10. A. Joseph (1982) The Enright functor in the Bernstein-Gelfand-Gelfand category o. Invent Math 67:423–445

    Article  MathSciNet  MATH  Google Scholar 

  11. A. Joseph (1981) Completion functors in the o category. Springer, Berlin Heidelberg New York, LN 1020, pp

    Google Scholar 

  12. A. Joseph (1984) On the variety of a highest weight module. J Algebra 88:238–278

    Article  MathSciNet  MATH  Google Scholar 

  13. A. Joseph, Three topics in enveloping algebras. In: Proceedings Durham Symposium 1983 (to appear)

    Google Scholar 

  14. D. Kazhdan and G. Lusztig (1979) Representations of Coxeter groups and Hecke algebras. Invent Math 53:165–184

    Article  MathSciNet  MATH  Google Scholar 

  15. G. Lusztig (1981) On a theorem of Benson and Curtis. J Algebra 71:490–498

    Article  MathSciNet  MATH  Google Scholar 

  16. G. Lusztig (1984) Characters of reductive groups over a finite field. Princeton University Press, New Jersey

    Book  MATH  Google Scholar 

  17. G. Lusztig (1985) Cells in affine Weyl groups. Advanced Studies in Pure Math., Vol. 6, Kinokuniya and North Holland

    Google Scholar 

  18. G. Lusztig (1986) Cells in affine Weyl groups II. Preprint, M.I.T.

    Google Scholar 

  19. W. Soergel (1985) Über den "Erweiterungs-Abschluß" der Kategorie o in der Kategorie aller Moduln über einer halbeinfachen Liealgebra. Diplomarbeit im Fach Mathematik an der Universität Bonn

    Google Scholar 

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Authors

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Jacques Carmona Patrick Delorme Michèle Vergne M.I.T.

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© 1987 Springer-Verlag

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Joseph, A. (1987). On the cyclicity of vectors associated with Duflo involutions. In: Carmona, J., Delorme, P., Vergne, M., M.I.T. (eds) Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073021

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  • DOI: https://doi.org/10.1007/BFb0073021

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  • Print ISBN: 978-3-540-17701-2

  • Online ISBN: 978-3-540-47775-4

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