BourbakiV1, France, Analysis, bibRecord, 000423

On the Orbit Method and the Homomorphism of Harish-Chandra

Identifieur interne : 000423 ( France/Analysis ); précédent : 000422; suivant : 000424

On the Orbit Method and the Homomorphism of Harish-Chandra

Auteurs : Papalexiou Nikolaos [France]

Source :

Journal of Algebra [ 0021-8693 ] ; 1999.

RBID : ISTEX:CC0DD9F9414C208653FB37B85191E0BFBE5DC1D8

English descriptors

KwdEn :
- Academic press, Adic, Adic topology, Adjoint group, Algebra, Algebra homomorphism, Constant term, Continuous extension, Differential operator, Differential operators, Dixmier, Eloping algebra, Filtration, Homogeneous element, Homogeneous elements, Homomorphism, Inductive limit, Isomorphism, Lecture notes, Nikolaos, Open neighbourhood, Orbit method, Other hand, Papalexiou, Papalexiou nikolaos, Resp, Semisimple, Symmetric algebra, Topology, Vector field, Vector space, Weyl algebra.
Teeft :
- Academic press, Adic, Adic topology, Adjoint group, Algebra, Algebra homomorphism, Constant term, Continuous extension, Differential operator, Differential operators, Dixmier, Eloping algebra, Filtration, Homogeneous element, Homogeneous elements, Homomorphism, Inductive limit, Isomorphism, Lecture notes, Nikolaos, Open neighbourhood, Orbit method, Other hand, Papalexiou, Papalexiou nikolaos, Resp, Semisimple, Symmetric algebra, Topology, Vector field, Vector space, Weyl algebra.

Abstract

Abstract: Let g be a complex semisimple Lie algebra with adjoint group G. Let U(g) be the enveloping algebra of g. Following an idea of J. Dixmier, (Sur la méthode des orbites, in “Proceedings de la conférence: Non commutative Harmonic analysis, Marseille–Luminy, 1978,” Lecture Notes in Mathematics, Vol. 728, Springer-Verlag, New York/Berlin) we construct a bijection from the set of regular coadjoint orbits onto the set of minimal primitive ideals in U(g), without using the notion of “polarization” (see J. Dixmier, Algèbres Enveloppantes, Gauthier-Villars, Paris, 1974). This is a partial answer to the problem posed by J. Dixmier in the former reference.

Url:

https://api.istex.fr/document/CC0DD9F9414C208653FB37B85191E0BFBE5DC1D8/fulltext/pdf

DOI: 10.1006/jabr.1998.7843

Affiliations:

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Le document en format XML

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On the Orbit Method and the Homomorphism of Harish-Chandra

On the Orbit Method and the Homomorphism of Harish-Chandra

Source :

English descriptors

Abstract

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