Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen

DOI10.1007/BF01351722zbMath0346.17012MaRDI QIDQ1233484

Walter Borho

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162931

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10) Division rings and semisimple Artin rings (16Kxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (16)

Unnamed Item ⋮ Differential operators on homogeneous spaces. II : relative enveloping algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the topology of the Dixmier map ⋮ Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension) ⋮ Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra ⋮ Primitive vollprime Ideale in der Einhüllenden von \(\mathfrak {so}(5,\mathbb{C})\) ⋮ Definition einer Dixmier-Abbildung für \(\mathfrak{sl}(n,\mathbb C)\) ⋮ Sheets and topology of primitive spectra for semisimple Lie algebras ⋮ Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren ⋮ A preparation theorem for the prime spectrum of a semisimple Lie algebra ⋮ On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case ⋮ Extended central characters and Dixmier's map ⋮ Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules ⋮ Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de lie semi-simples

Cites Work

• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• 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)
• Algèbres d'opérateurs différentiels et quotients des algèbres enveloppantes
• The minimal orbit in a simple Lie algebra and its associated maximal ideal
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
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