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RESEARCH PRODUCT

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

Jean LudwigMohamed SelmiLobna AbdelmoulaDidier Arnal

subject

Unitary representationSimple Lie group(gK)-moduleLie groupCombinatoricsUnitary representationRepresentation of a Lie groupRepresentation theory of SUUnitary groupFundamental representationMoment setMaximal torusAnalysisMathematics

description

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.

10.1016/j.jfa.2004.11.013http://dx.doi.org/10.1016/j.jfa.2004.11.013