The prime spectrum of the enveloping algebra of a reductive Lie algebra

DOI10.1007/BF02570893zbMath0685.17006WikidataQ115391994 ScholiaQ115391994MaRDI QIDQ1825941

Wolfgang Soergel

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/183790

zbMATH Keywords

enveloping algebrasemisimple Lie algebrasJacobson topologyreductive Lie algebraprime spectrumsheaves of differential operators

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Derivations, actions of Lie algebras (16W25) Simple, semisimple, reductive (super)algebras (17B20) Ideals in associative algebras (16D25)

Related Items (12)

Order relations on induced and prime ideals in the enveloping algebra of a semisimple Lie algebra ⋮ Differential invariants on symplectic spinors in contact projective geometry ⋮ Unnamed Item ⋮ On the topology of the Dixmier map ⋮ Invariant Differential Operators and FCR Factors of Enveloping Algebras ⋮ ON THE PRIME SPECTRUM OF THE ENVELOPING ALGEBRA AND CHARACTERISTIC VARIETIES ⋮ Sheets and topology of primitive spectra for semisimple Lie algebras ⋮ Prime ideals of the enveloping algebraU(sl₃) ⋮ Ideals in tensor powers of the enveloping algebrau(sl₂) ⋮ Spectra of quantized hyperalgebras ⋮ Extended central characters and Dixmier's map ⋮ Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de lie semi-simples

Cites Work

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• Universal versus relative enveloping algebras: a geometric study of quotients of universal enveloping algebras of semisimple Lie algebras
• Moduln mit einem höchsten Gewicht
• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• Differential operators on homogeneous spaces. II : relative enveloping algebras
• Prime ideals in fixed rings

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