Search results for "Moment set"

showing 2 items of 2 documents

Separation of unitary representations of connected Lie groups by their moment sets

2005

AbstractWe show that every unitary representation π of a connected Lie group G is characterized up to quasi-equivalence by its complete moment set.Moreover, irreducible unitary representations π of G are characterized by their moment sets.

Unitary representationSimple Lie group(gK)-moduleLie groupCombinatoricsUnitary representationRepresentation of a Lie groupRepresentation theory of SUUnitary groupFundamental representationMoment setMaximal torusAnalysisMathematicsJournal of Functional Analysis
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Moment Map and Gelfand Transform for the Enveloping Algebra

2019

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.

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