Moment Map and Gelfand Transform for the Enveloping Algebra
Affiliation auteurs | Affiliation ok |
Titre | Moment Map and Gelfand Transform for the Enveloping Algebra |
Type de publication | Journal Article |
Year of Publication | 2019 |
Auteurs | Arnal D, Selmi M |
Journal | JOURNAL OF LIE THEORY |
Volume | 29 |
Pagination | 227-237 |
Type of Article | Article |
ISSN | 0949-5932 |
Mots-clés | analytic states, moment set of a representation, Universal enveloping algebra |
Résumé | Describing the Gelfand construction for the analytic states on an universal enveloping algebra, we characterize pure states and re-find the main result of a preceding work with L. Abdelmoula and J. Ludwig on the separation of unitary irreducible representations of a connected Lie group by their generalized moment sets. |