Recent advances in enveloping algebras of semi-simple Lie-algebras
Séminaire Bourbaki (1976-1977)
- Volume: 19, page 1-18
- ISSN: 0303-1179
Access Full Article
topHow to cite
topBorho, Walter. "Recent advances in enveloping algebras of semi-simple Lie-algebras." Séminaire Bourbaki 19 (1976-1977): 1-18. <http://eudml.org/doc/109903>.
@article{Borho1976-1977,
author = {Borho, Walter},
journal = {Séminaire Bourbaki},
keywords = {Maximal Spectrum of Commutative Algebra; Research Survey; Finite Dimensional Lie Algebras; Algebraic Geometry; Noncommutative Analogue; Primitive Ideals; Enveloping Algebras; Noncommutative Algebra; Representation Theory},
language = {eng},
pages = {1-18},
publisher = {Springer-Verlag},
title = {Recent advances in enveloping algebras of semi-simple Lie-algebras},
url = {http://eudml.org/doc/109903},
volume = {19},
year = {1976-1977},
}
TY - JOUR
AU - Borho, Walter
TI - Recent advances in enveloping algebras of semi-simple Lie-algebras
JO - Séminaire Bourbaki
PY - 1976-1977
PB - Springer-Verlag
VL - 19
SP - 1
EP - 18
LA - eng
KW - Maximal Spectrum of Commutative Algebra; Research Survey; Finite Dimensional Lie Algebras; Algebraic Geometry; Noncommutative Analogue; Primitive Ideals; Enveloping Algebras; Noncommutative Algebra; Representation Theory
UR - http://eudml.org/doc/109903
ER -
References
top- [1] W. Borho - Primitive vollprime Ideale in der Einhüllenden von sσ(5,C) , J. of Algebra, 43 (1976), 619-654. Zbl0346.17013
- [2] W. Borho - Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen, Math. Ann.,225 (1977), 177-194. Zbl0346.17012MR453832
- [3] W. Borho - Definition einer Dixmier-Abbildung für 61 (n,C), Inv. M.,40(1977),143-169. Zbl0346.17014MR442046
- [4] N. Conze - Algèbres d'opérateurs différentiels et quotients des algèbres envoloppantes, Bull. Soc. Math. France, 102(1974), 379-415. Zbl0298.17012MR374214
- [5] N. Conze-Derline, M. Duflo - Sur les representations induites des groupes semi-simples complexes, Compositio math. (to appear). Zbl0389.22016MR439991
- [6] J. Dixmier - Algèbres enveloppantes, Paris, Gauthier-Villars, 1974. Zbl0308.17007MR498737
- [7] J. Dixmier - Idéaux primitifs complètement premiers dans l'algèbre enveloppante de sl(3,C) , Lecture Notes in Math., n° 466, 38-55, Springer, 1975. Zbl0307.17005MR393152
- [8] J. Dixmier-Certaines représentations infinies des algèbres de Lie semi-simples, Sém. Bourbaki, exposé 425, Lecture Notes in Math., n° 383, 141-156, Springer, 1974. Zbl0291.17005MR419543
- [9] M. Duflo - Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple, Annals of Math., 105 (1977),107-120. Zbl0346.17011MR430005
- [10] M. Duflo - Représentations irréductibles des groupes semi-simples complexes, Séminaire Nancy-Strasbourg, Lecture Notes in Math., n° 497, 26-88, Springer, 1975. Zbl0315.22008MR399353
- [11] P. Gabriel, R. Rentschler, W. Borho - Primideale in Einhüllenden auflösbarer Lie-Algebren, Lecture Notes in Math., n° 357, Springer, 1973. Zbl0293.17005MR376790
- [12] J.C. Jantzen, W. Borho - Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra, Invent. Math., 39 (1977), 1-53. Zbl0327.17002MR453826
- [13] J.C. Jantzen, W. Borho - Über assoziierte Varietäten primitiver Ideale und deren Dimensionen, (in preparation).
- [14] A. Joseph - The minimal orbit in a simple Lie-algebra and its associated maximal ideal, Ann. Scient. Ec. Norm. Sup., 9(1976), 1-30. Zbl0346.17008MR404366
- [15] A. Joseph - On the Gelfand-Kirillov-conjecture for induced ideals in the semi-simple case, preprint.
- [16] A. Joseph - Primitive ideals in the enveloping algebras of sl(3) and sp(4) , preprint. MR804696
- [17] A. Joseph - A preparation theorem for the prime spectrum of a semisimple Lie Algebra, preprint.
- [18] H. Kraft, W. Borho - Über die Gelfand-Kirillov-Dimension, Math. Ann., 220(1976), 1-24. Zbl0306.17005MR412240
- [19] H. Kraft, W. Borho - Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comment: Math. Helv. (to appear). Zbl0395.14013MR522032
- [20] H. Ozeki, M. Wakimoto - On polarizations of certain homogeneous spaces, Hiroshima Math. J., 2(1972), 445-482. Zbl0267.22011MR340483
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.