6533b859fe1ef96bd12b7dd4

RESEARCH PRODUCT

Moment Map and Gelfand Transform for the Enveloping Algebra

Didier ArnalMohamed Selmi

subject

moment set of a representationseparationvectors[MATH] Mathematics [math]MSC: 22D10 22D20 52A05[MATH]Mathematics [math]Universal enveloping algebraanalytic statesunitary representations

description

International audience; 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.

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02173488