Differential operators on homogeneous spaces. II : relative enveloping algebras
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Publication:3480290
DOI10.24033/bsmf.2117zbMath0702.22019OpenAlexW2585049783MaRDI QIDQ3480290
Jean-Luc Brylinski, Walter Borho
Publication date: 1989
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_2_167_0
differential operatorssheaf of algebrasH-principal fibre bundleleft G actionrelative enveloping algebra
Universal enveloping (super)algebras (17B35) Differential geometry of homogeneous manifolds (53C30) Analysis on real and complex Lie groups (22E30) Lie algebras of Lie groups (22E60) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic geometry and representations
- Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals
- \({\mathfrak G}\)-module, Springer's representations and bivariant Chern classes
- Simple singularities and simple algebraic groups
- Linear algebraic groups
- Kazhdan-Lusztig conjecture and holonomic systems
- Über Schichten halbeinfacher Lie-Algebren
- Primitive ideals and orbital integrals in complex classical groups
- Geometric quantization and multiplicities of group representations
- Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
- Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
- Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen
- Definition einer Dixmier-Abbildung für \(\mathfrak{sl}(n,\mathbb C)\)
- Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
- On the holonomic systems of linear differential equations. II
- Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
- Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- The structure of the Lie field connected with a split semisimple Lie algebra
- Hamiltonian group actions and dynamical systems of calogero type
- Quantization and unitary representations