@article{BSMF_1989__117_2_167_0, author = {Borho, Walter and Brylinski, Jean-Luc}, title = {Differential operators on homogeneous spaces. {II} : relative enveloping algebras}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {167--210}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {117}, number = {2}, year = {1989}, doi = {10.24033/bsmf.2117}, mrnumber = {90j:17023}, zbl = {0702.22019}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2117/} }
TY - JOUR AU - Borho, Walter AU - Brylinski, Jean-Luc TI - Differential operators on homogeneous spaces. II : relative enveloping algebras JO - Bulletin de la Société Mathématique de France PY - 1989 SP - 167 EP - 210 VL - 117 IS - 2 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2117/ DO - 10.24033/bsmf.2117 LA - en ID - BSMF_1989__117_2_167_0 ER -
%0 Journal Article %A Borho, Walter %A Brylinski, Jean-Luc %T Differential operators on homogeneous spaces. II : relative enveloping algebras %J Bulletin de la Société Mathématique de France %D 1989 %P 167-210 %V 117 %N 2 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2117/ %R 10.24033/bsmf.2117 %G en %F BSMF_1989__117_2_167_0
Borho, Walter; Brylinski, Jean-Luc. Differential operators on homogeneous spaces. II : relative enveloping algebras. Bulletin de la Société Mathématique de France, Tome 117 (1989) no. 2, pp. 167-210. doi : 10.24033/bsmf.2117. http://archive.numdam.org/articles/10.24033/bsmf.2117/
[BV] Primitive ideals and orbital integrals in complex classical groups, Math. Ann., t. 259, 1982, p. 153-199. | MR | Zbl
and . -[BeBe] Localisation de g-modules, C. R. Acad. Sci. Paris, t. 292, 1981, p. 15-18. | MR | Zbl
and . -[Bj] Rings of differential operators. - Amsterdam-New-York-Oxford, North-Holland, 1979. | Zbl
. -[BB I] Differential operators on homogeneous spaces I, Invent. Math., t. 69, 1982, p. 437-476. | MR | Zbl
and . -[BB III] Differential operators on homogeneous spaces III, Invent. Math., t. 80, 1985, p. 1-68. | MR | Zbl
and . -[Bo 1] Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen, Math. Ann., t. 225, 1977, p. 177-194. | MR | Zbl
. -[Bo 2] Über Schichten halbeinfacher Lie-Algebren, Invent. Math., t. 65, 1981, p. 283-317. | MR | Zbl
. -[Bo 3] Definition einer Dixmier-Abbildung für sl(n, ℂ), Invent. Math., t. 40, 1977, p. 143-169. | MR | Zbl
. -[BBM] Equivariant K-theory approach to nilpotent orbits, Preprint M/86/13, IHES, Bures-sur-Yvette, March, 1986.
, and . -[BGG] Differential operators on the base affine space and a study of g-modules, Lie groups and their representations, Budapest 1971. | Zbl
, and . -[BGR] Primideale in Einhüllenden auflösbarer Lie-Algebren, Springer, LNM, 357, 1973. | MR | Zbl
, and . -[BJ] Über primitive ideale in der Einhüllenden einer halbeinfachen Lie-Algebra, Invent. Math., t. 39, 1977, p. 1-53. | MR | Zbl
and . -[BK] Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comment. Math. Helv., t. 54, 1979, p. 61-104. | MR | Zbl
and . -[BM] Partial resolutions of nilpotent varieties, Astérisque, t. 101, 1983, p. 23-74. | Numdam | MR | Zbl
and . -[BrK] Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math., t. 64, 1981, p. 387-410. | MR | Zbl
and . -[Di] Algèbres enveloppantes. - Paris, Gauthier-Villars, 1974. | MR | Zbl
. -[GK] The structure of the Lie field connected with a split semisimple Lie algebra, Funktsional. Anal. i Prilozhen, t. 3, 1969, p. 7-26. | MR | Zbl
and . -[G1] Symplectic geometry and representations, J. Funct. Anal. Appl., t. 17, 1983, p. 75-76. | MR | Zbl
. -[G2] g-modules, Springer's representations and bivariant Chern classes, Advances Math., 59, 1986. | MR | Zbl
. -[Gi] Analysis situs, in Dix exposés sur la cohomologie des schémas. - North Holland.
. -[EGA4] Eléments de géométrie algébrique IV, Publ. Math. IHES, 20 1964, 24 1965, 28 1966, 32 1967. | Numdam
. -[GS] Geometric quantization and multiplicities of group representations, Invent. Math., t. 67, 1982, p. 515-538. | MR | Zbl
and . -[H1] Algebraic geometry, Graduate Texts in Math., 52, New-York-Heidelberg-Berlin, 1977. | MR | Zbl
. -[H2] Residues and duality, Springer LNM 20, 1966. | MR | Zbl
. -[K1] On the holonomic systems of differential equations II, Invent. Math., t. 49, 1978, p. 121-135. | MR | Zbl
. -[KK] On the holonomic systems of linear differential equations (systems with regular singularities) III, Publ. Math. RIMS Kyoto Univ., t. 17, 1981, p. 813-979. | MR | Zbl
and . -[KKS] Hamiltonian group actions and dynamical systems of Calegoro type, Comm. Pure Appl. Math., t. 31, 1978, p. 481-507. | MR | Zbl
, and . -[KN] Foundations of Diferential Geometry. - New York, Interscience, 1963.
and . -[Ko1] Quantization and unitary representations, Springer LNM, t. 170, 1976, p. 87-208. | MR | Zbl
. -[Ko2] Research announcement. - Triest, 1980.
. -[Mu] Geometric invariant theory, 2e ed.. - Berlin-Heidelberg-New York, Springer, 1982.
and . -[SGA1] Revêtements étales et groupe fondamental. Springer LNM, 224, 1971. | MR | Zbl
. -[Se1] Espaces fibrés algébriques, [Séminaire Chevalley], E.N.S., avril 1958, pp. 1-01-1-37. | Numdam
. -[Se2] Algèbre Locale. Multiplicités. Springer LNM, 11, 1965. | MR | Zbl
. -[SI] Simple singularities and simple algebraic groups, Springer LNM, 815, 1980. | MR | Zbl
. -[Sp] Linear algebraic groups. - Basel-Boston-Stuttgart, Birkhäuser, 1981. | MR | Zbl
. -[SGA4] Théorie des topos et cohomologie étale des schémas, Springer LNM, 269, 270, 305, 1972-1973.
, et . -Cité par Sources :