Towards the Jantzen conjecture. III
Compositio Mathematica (1980)
- Volume: 42, Issue: 1, page 23-30
- ISSN: 0010-437X
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topJoseph, 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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- [4] W. Borho: Recent advances in the enveloping algebras of semi-simple Lie algebras. Sém. Bourbaki. No. 489, Nov. 1976. Zbl0394.17005
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- [7] J. Dixmier: Algèbres enveloppantes, cahiers scientifiques, XXXVII, Gauthier-Villars, Paris, 1974. Zbl0308.17007MR498737
- [8] H. Kraft and C. Procesi: Closures of conjugacy classes of matrices are normal. Invent. Math.53 (1979) 227-247. Zbl0434.14026MR549399
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- [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] A. Joseph: Towards the Jantzen conjecture. Comp. Math., 40 (1980) 35-78. Zbl0424.17005MR558258
- [12] A. Joseph: Dixmier's problem for Verma and principal series submodules. J. Lond. Math. Soc., (In the press). Zbl0421.17005
- [13] A. Joseph: Goldie rank in the enveloping algebra of a semi-simple Lie algebra. II. Journ. Alg. (In the press). Zbl0441.17004
- [14] A. Joseph and L.W. Small: An additivity principle for Goldie rank. Israel J. Math., 31 (1978) 105-114. Zbl0395.17010MR516246
- [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] A. Joseph, Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture, Invent. Math.56 (1980) 191-213. Zbl0446.17006MR561970
- [17] A. Joseph, Goldie rank in the enveloping algebra of a semi-simple Lie algebra. I, Journ. Alg. (In the press). Zbl0441.17004
- [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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