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- Dixmier_mapping abstract "In mathematics, the Dixmier mapping describes the space Prim(U(g)) of primitive ideals of the universal enveloping algebra U(g) of a finite-dimensional solvable Lie algebra g over an algebraically closed field of characteristic 0 in terms of coadjoint orbits. More precisely, it is a homeomorphism from the space of orbits g*/G of the dual g* of g (with the Zariski topology) under the action of the adjoint group G to Prim(U(g)) (with the Jacobson topology). The Dixmier map is closely related to the orbit method, which relates the irreducible representations of a nilpotent Lie group to its coadjoint orbits. Dixmier (1963) introduced the Dixmier map for nilpotent Lie algebras and then in (Dixmier 1966) extended it to solvable ones.Dixmier (1996, chapter 6) describes the Dixmier mapping in detail.".
- Dixmier_mapping wikiPageExternalLink books?isbn=0821805606.
- Dixmier_mapping wikiPageID "37728218".
- Dixmier_mapping wikiPageLength "2361".
- Dixmier_mapping wikiPageOutDegree "13".
- Dixmier_mapping wikiPageRevisionID "675189443".
- Dixmier_mapping wikiPageWikiLink Algebraically_closed_field.
- Dixmier_mapping wikiPageWikiLink American_Mathematical_Society.
- Dixmier_mapping wikiPageWikiLink Category:Lie_algebras.
- Dixmier_mapping wikiPageWikiLink Coadjoint_representation.
- Dixmier_mapping wikiPageWikiLink Graduate_Studies_in_Mathematics.
- Dixmier_mapping wikiPageWikiLink Nilpotent_Lie_algebra.
- Dixmier_mapping wikiPageWikiLink Orbit_method.
- Dixmier_mapping wikiPageWikiLink Primitive_ideal.
- Dixmier_mapping wikiPageWikiLink Solvable_Lie_algebra.
- Dixmier_mapping wikiPageWikiLink Spectrum_of_a_C*-algebra.
- Dixmier_mapping wikiPageWikiLink Universal_enveloping_algebra.
- Dixmier_mapping wikiPageWikiLink Zariski_topology.
- Dixmier_mapping wikiPageWikiLinkText "Dixmier mapping".
- Dixmier_mapping wikiPageUsesTemplate Template:Citation.
- Dixmier_mapping wikiPageUsesTemplate Template:Eom.
- Dixmier_mapping wikiPageUsesTemplate Template:Harvs.
- Dixmier_mapping wikiPageUsesTemplate Template:Harvtxt.
- Dixmier_mapping subject Category:Lie_algebras.
- Dixmier_mapping type Algebra.
- Dixmier_mapping comment "In mathematics, the Dixmier mapping describes the space Prim(U(g)) of primitive ideals of the universal enveloping algebra U(g) of a finite-dimensional solvable Lie algebra g over an algebraically closed field of characteristic 0 in terms of coadjoint orbits. More precisely, it is a homeomorphism from the space of orbits g*/G of the dual g* of g (with the Zariski topology) under the action of the adjoint group G to Prim(U(g)) (with the Jacobson topology).".
- Dixmier_mapping label "Dixmier mapping".
- Dixmier_mapping sameAs Q5284928.
- Dixmier_mapping sameAs m.0nfvr8y.
- Dixmier_mapping sameAs Q5284928.
- Dixmier_mapping wasDerivedFrom Dixmier_mapping?oldid=675189443.
- Dixmier_mapping isPrimaryTopicOf Dixmier_mapping.