On the annihilators of the simple subquotients of the principal series

A. Joseph

Annales scientifiques de l'École Normale Supérieure (1977)

  • Volume: 10, Issue: 4, page 419-439
  • ISSN: 0012-9593

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Joseph, A.. "On the annihilators of the simple subquotients of the principal series." Annales scientifiques de l'École Normale Supérieure 10.4 (1977): 419-439. <http://eudml.org/doc/82001>.

@article{Joseph1977,
author = {Joseph, A.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {4},
pages = {419-439},
publisher = {Elsevier},
title = {On the annihilators of the simple subquotients of the principal series},
url = {http://eudml.org/doc/82001},
volume = {10},
year = {1977},
}

TY - JOUR
AU - Joseph, A.
TI - On the annihilators of the simple subquotients of the principal series
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1977
PB - Elsevier
VL - 10
IS - 4
SP - 419
EP - 439
LA - eng
UR - http://eudml.org/doc/82001
ER -

References

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  1. [1] W. BORHO, Recent Advances in the Enveloping Algebras of Semisimple Lie Algebras (Séminaire Bourbaki, No. 489, November 1976). Zbl0394.17005
  2. [2] W. BORHO und H. KRAFT, Über die Gelfand-Kirillov-Dimension (Math. Ann., Vol. 220, 1976, pp. 1-24). Zbl0306.17005MR54 #367
  3. [3] W. BORHO und J. C. JANTZEN, Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra (Invent. Math., Vol. 39, 1977, pp. 1-53). Zbl0327.17002MR56 #12079
  4. [4] W. BORHO und J. C. JANTZEN (to appear). 
  5. [5] N. CONZE-BERLINE et M. DUFLO, Sur les représentations des groupes semi-simple complexes, Compos. Math., Vol. 34, 1977, pp. 307-336). Zbl0389.22016MR55 #12872
  6. [6] M. DUFLO, Représentations irréductibles des groupes semi-simple complexes (Lecture Notes, No. 497, 1975, pp. 26-88). Zbl0315.22008MR53 #3198
  7. [7] M. DUFLO, Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple (Ann. Math., Vol. 105, 1977, pp. 107-120). Zbl0346.17011MR55 #3013
  8. [8] J. DIXMIER, Algèbres enveloppantes (Cahiers scientifiques, Vol. XXXVII, Gauthier-Villars, Paris, 1974). Zbl0308.17007MR58 #16803a
  9. [9] J. C. JANTZEN, Kontravariante formen auf induzierte Darstellungen halbeinfacher Lie-Algebren (Math. Ann., Vol. 226, 1977, pp. 53-65). Zbl0372.17003MR55 #12783
  10. [10] A. JOSEPH, A Characteristic Variety for the Primitive Spectrum of a Semisimple Lie Algebra, preprint, Bonn, 1976. Short version in Lecture Notes, No. 587. 1977, pp. 102-118. Zbl0374.17004MR56 #8645
  11. [11] N. N. SHAPOVALOV, On a Bilinear Form on the Universal Enveloping Algebra of a Complex Semisimple Lie Algebra (Funkt. Analiz i Ego Pril., Vol. 6, 1972, pp. 65-70). Zbl0283.17001MR47 #8644
  12. [12] N. SPALTENSTEIN, Remarques sur certaines relations d'équivalence dans les groupes de Weyl, preprint Warwick, 1977. 
  13. [13] N. CONZE et J. DIXMIER, Idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semisimple (Bull. Sc. math., 2e série, Vol. 96, 1972, pp. 339-351). Zbl0246.17009MR48 #356
  14. [14] J. C. JANTZEN (to appear). 
  15. [15] A. JOSEPH, Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules [J. Lond. Math. Soc. (to appear)]. Zbl0401.17007
  16. [16] C. SCHENSTED, Longest Increasing and Decreasing Subsequences (Canad. J. Math., Vol. 13, 1961, pp. 179-191). Zbl0097.25202MR22 #12047
  17. [17] R. STEINBERG, Lectures on Chevalley Groups, Yale University, 1967. 

Citations in EuDML Documents

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  1. William M. McGovern, A remark on differential operator algebras and an equivalence of categories
  2. O. Gabber, A. Joseph, On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
  3. A. Joseph, Towards the Jantzen conjecture. III
  4. Patrick Polo, Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de Lie semi-simples
  5. A. Joseph, Towards the Jantzen conjecture
  6. Hisayosi Matumoto, C - -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

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