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A strict Positivstellensatz for enveloping algebras
Authors:Konrad Schmüdgen
Institution:1. Fakult?t für Mathematik und Informatik, Universit?t Leipzig, Augustusplatz 10, 04109, Leipzig, Germany
Abstract:Let G be a connected and simply connected real Lie group with Lie algebra MediaObjects/s00209-006-0965-3flb1.gif . Semialgebraic subsets of the unitary dual of G are defined and a strict Positivstellensatz for positive elements of the universal enveloping algebra MediaObjects/s00209-006-0965-3flb2.gif of MediaObjects/s00209-006-0965-3flb1.gif is proved. An erratum to this article is available at .
Keywords:Positivstellensatz  enveloping algebras
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