Moment Map and Gelfand Transform for the Enveloping Algebra

Affiliation auteursAffiliation ok
TitreMoment Map and Gelfand Transform for the Enveloping Algebra
Type de publicationJournal Article
Year of Publication2019
AuteursArnal D, Selmi M
JournalJOURNAL OF LIE THEORY
Volume29
Pagination227-237
Type of ArticleArticle
ISSN0949-5932
Mots-clésanalytic 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.