Differential operators on homogeneous spaces. II : relative enveloping algebras
Bulletin de la Société Mathématique de France, Volume 117 (1989) no. 2, pp. 167-210.
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     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},
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     mrnumber = {90j:17023},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/bsmf.2117/}
}
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Borho, Walter; Brylinski, Jean-Luc. Differential operators on homogeneous spaces. II : relative enveloping algebras. Bulletin de la Société Mathématique de France, Volume 117 (1989) no. 2, pp. 167-210. doi : 10.24033/bsmf.2117. http://archive.numdam.org/articles/10.24033/bsmf.2117/

[BV] Barbasch (D.) and Vogan (D.). - Primitive ideals and orbital integrals in complex classical groups, Math. Ann., t. 259, 1982, p. 153-199. | MR | Zbl

[BeBe] Beilinson (A.) and Bernstein (J.). - Localisation de g-modules, C. R. Acad. Sci. Paris, t. 292, 1981, p. 15-18. | MR | Zbl

[Bj] Björk (J.E.). - Rings of differential operators. - Amsterdam-New-York-Oxford, North-Holland, 1979. | Zbl

[BB I] Borho (W.) and Brylinski (J.L.). - Differential operators on homogeneous spaces I, Invent. Math., t. 69, 1982, p. 437-476. | MR | Zbl

[BB III] Borho (W.) and Brylinski (J.L.). - Differential operators on homogeneous spaces III, Invent. Math., t. 80, 1985, p. 1-68. | MR | Zbl

[Bo 1] Borho (W.). - Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen, Math. Ann., t. 225, 1977, p. 177-194. | MR | Zbl

[Bo 2] Borho (W.). - Über Schichten halbeinfacher Lie-Algebren, Invent. Math., t. 65, 1981, p. 283-317. | MR | Zbl

[Bo 3] Borho (W.). - Definition einer Dixmier-Abbildung für sl(n, ℂ), Invent. Math., t. 40, 1977, p. 143-169. | MR | Zbl

[BBM] Borho (W.), Brylinski (J.-L.) and Macpherson (R.). - Equivariant K-theory approach to nilpotent orbits, Preprint M/86/13, IHES, Bures-sur-Yvette, March, 1986.

[BGG] Bernstein (I.N.), Gelfand (I.M.) and Gelfand (S.I). - Differential operators on the base affine space and a study of g-modules, Lie groups and their representations, Budapest 1971. | Zbl

[BGR] Borho (W.), Gabriel (P.) and Rentschler (R.). - Primideale in Einhüllenden auflösbarer Lie-Algebren, Springer, LNM, 357, 1973. | MR | Zbl

[BJ] Borho (W.) and Jantzen (J.C.). - Über primitive ideale in der Einhüllenden einer halbeinfachen Lie-Algebra, Invent. Math., t. 39, 1977, p. 1-53. | MR | Zbl

[BK] Borho (W.) and Kraft (H.). - Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen, Comment. Math. Helv., t. 54, 1979, p. 61-104. | MR | Zbl

[BM] Borho (W.) and Macpherson (R.). - Partial resolutions of nilpotent varieties, Astérisque, t. 101, 1983, p. 23-74. | MR | Zbl

[BrK] Brylinski (J.-L.) and Kashiwara (M.). - Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math., t. 64, 1981, p. 387-410. | MR | Zbl

[Di] Dixmier (J.). - Algèbres enveloppantes. - Paris, Gauthier-Villars, 1974. | MR | Zbl

[GK] Gelfand (I.M.) and Kirillov (A.A.). - 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

[G1] Ginsburg (V.). - Symplectic geometry and representations, J. Funct. Anal. Appl., t. 17, 1983, p. 75-76. | MR | Zbl

[G2] Ginsburg (V.). - g-modules, Springer's representations and bivariant Chern classes, Advances Math., 59, 1986. | MR | Zbl

[Gi] Giraud (J.). - Analysis situs, in Dix exposés sur la cohomologie des schémas. - North Holland.

[EGA4] Grothendieck (A.). - Eléments de géométrie algébrique IV, Publ. Math. IHES, 20 1964, 24 1965, 28 1966, 32 1967. | Numdam

[GS] Guillemin (V.) and Sternberg (S.). - Geometric quantization and multiplicities of group representations, Invent. Math., t. 67, 1982, p. 515-538. | MR | Zbl

[H1] Hartshorne (R.). - Algebraic geometry, Graduate Texts in Math., 52, New-York-Heidelberg-Berlin, 1977. | MR | Zbl

[H2] Hartshorne (R.). - Residues and duality, Springer LNM 20, 1966. | MR | Zbl

[K1] Kashiwara (M.). - On the holonomic systems of differential equations II, Invent. Math., t. 49, 1978, p. 121-135. | MR | Zbl

[KK] Kashiwara (M.) and Kawai (T.). - 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

[KKS] Kazhdan (D.), Kostant (B.) and Sternberg (S.). - Hamiltonian group actions and dynamical systems of Calegoro type, Comm. Pure Appl. Math., t. 31, 1978, p. 481-507. | MR | Zbl

[KN] Kobayashi (S.) and Nomizu (K.). - Foundations of Diferential Geometry. - New York, Interscience, 1963.

[Ko1] Kostant (B.). - Quantization and unitary representations, Springer LNM, t. 170, 1976, p. 87-208. | MR | Zbl

[Ko2] Kostant (B.). - Research announcement. - Triest, 1980.

[Mu] Mumford (D.) and Fogarty (J.). - Geometric invariant theory, 2e ed.. - Berlin-Heidelberg-New York, Springer, 1982.

[SGA1] Grothendieck (A.). - Revêtements étales et groupe fondamental. Springer LNM, 224, 1971. | MR | Zbl

[Se1] Serre (J.P.). - Espaces fibrés algébriques, [Séminaire Chevalley], E.N.S., avril 1958, pp. 1-01-1-37. | Numdam

[Se2] Serre (J.P.). - Algèbre Locale. Multiplicités. Springer LNM, 11, 1965. | MR | Zbl

[SI] Slodowy (P.). - Simple singularities and simple algebraic groups, Springer LNM, 815, 1980. | MR | Zbl

[Sp] Springer (T.A.). - Linear algebraic groups. - Basel-Boston-Stuttgart, Birkhäuser, 1981. | MR | Zbl

[SGA4] Artin (M.), Grothendieck (A.) et Verdier (J.L.). - Théorie des topos et cohomologie étale des schémas, Springer LNM, 269, 270, 305, 1972-1973.

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