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A strict Positivstellensatz for enveloping algebras

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An Erratum to this article was published on 15 January 2008

Abstract

Let G be a connected and simply connected real Lie group with Lie algebra . Semialgebraic subsets of the unitary dual of G are defined and a strict Positivstellensatz for positive elements of the universal enveloping algebra of is proved.

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Authors and Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10, 04109, Leipzig, Germany

    Konrad Schmüdgen

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  1. Konrad Schmüdgen
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Correspondence to Konrad Schmüdgen.

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An erratum to this article is available at http://dx.doi.org/10.1007/s00209-007-0295-0.

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Schmüdgen, K. A strict Positivstellensatz for enveloping algebras. Math. Z. 254, 641–653 (2006). https://doi.org/10.1007/s00209-006-0965-3

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  • DOI: https://doi.org/10.1007/s00209-006-0965-3

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