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).
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).
Source: Wikipedia "Dixmier mapping" · CC BY-SA 4.0
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