Towards the Jantzen conjecture. III

A. Joseph

Compositio Mathematica (1980)

  • Volume: 42, Issue: 1, page 23-30
  • ISSN: 0010-437X

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Joseph, A.. "Towards the Jantzen conjecture. III." Compositio Mathematica 42.1 (1980): 23-30. <http://eudml.org/doc/89469>.

@article{Joseph1980,
author = {Joseph, A.},
journal = {Compositio Mathematica},
keywords = {enveloping algebra; associated graded ideal; conjugacy classes; comparison theorem; associated varieties; primitive ideals; Jantzen conjecture},
language = {eng},
number = {1},
pages = {23-30},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Towards the Jantzen conjecture. III},
url = {http://eudml.org/doc/89469},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Joseph, A.
TI - Towards the Jantzen conjecture. III
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 1
SP - 23
EP - 30
LA - eng
KW - enveloping algebra; associated graded ideal; conjugacy classes; comparison theorem; associated varieties; primitive ideals; Jantzen conjecture
UR - http://eudml.org/doc/89469
ER -

References

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  1. [1] I.N. Bernstein: Modules over a ring of differential operators Funct. Anal. i evo priloj., 5 (1970) 89-101. Zbl0233.47031MR290097
  2. [2] W. Borho: Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen. Math. Ann.225 (1977) 177-194. Zbl0346.17012MR453832
  3. [3] W. Borho: Definition einer Dixmier-Abbildung für sl (n, C). Invent. Math.40 (1977) 143-169. Zbl0346.17014MR442046
  4. [4] W. Borho: Recent advances in the enveloping algebras of semi-simple Lie algebras. Sém. Bourbaki. No. 489, Nov. 1976. Zbl0394.17005
  5. [5] W. Borho and H. Kraft: Über Bahnen und deren Deformationen bei linearen aktionen reduktiver Gruppen. Comment. Math. Helv., 54 (1979) 61-104. Zbl0395.14013MR522032
  6. [6] N. Conze-Berline and M. Duflo: Sur les representations induites des groupes semi-simple complexes. Comp. Math., 34 (1977) 307-336. Zbl0389.22016MR439991
  7. [7] J. Dixmier: Algèbres enveloppantes, cahiers scientifiques, XXXVII, Gauthier-Villars, Paris, 1974. Zbl0308.17007MR498737
  8. [8] H. Kraft and C. Procesi: Closures of conjugacy classes of matrices are normal. Invent. Math.53 (1979) 227-247. Zbl0434.14026MR549399
  9. [9] A. Joseph: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie réductive. Comptes Rendus, A284 (1977) 425-427. Zbl0362.17007MR427404
  10. [10] A. Joseph: Sur la classification des idéaux primitifs dans l'algèbre enveloppante de sl (n + 1, C). Comptes Rendus, A287 (1978) 302-306. Zbl0399.17002MR506501
  11. [11] A. Joseph: Towards the Jantzen conjecture. Comp. Math., 40 (1980) 35-78. Zbl0424.17005MR558258
  12. [12] A. Joseph: Dixmier's problem for Verma and principal series submodules. J. Lond. Math. Soc., (In the press). Zbl0421.17005
  13. [13] A. Joseph: Goldie rank in the enveloping algebra of a semi-simple Lie algebra. II. Journ. Alg. (In the press). Zbl0441.17004
  14. [14] A. Joseph and L.W. Small: An additivity principle for Goldie rank. Israel J. Math., 31 (1978) 105-114. Zbl0395.17010MR516246
  15. [15] A. Joseph, On the annihilators of the simple subquotients of the principal series, Ann. scient. Ec. Norm. Sup., 10 (1977) 419-440. Zbl0386.17004MR480653
  16. [16] A. Joseph, Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture, Invent. Math.56 (1980) 191-213. Zbl0446.17006MR561970
  17. [17] A. Joseph, Goldie rank in the enveloping algebra of a semi-simple Lie algebra. I, Journ. Alg. (In the press). Zbl0441.17004
  18. [18] T.A. Springer and R. Steinberg, Conjugacy classes, Lecture Notes in Mathematics, No. 131, Springer-Verlag, Berlin/Heidelberg/New York, 1970. Zbl0281.20037MR268192

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