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A Strict Positivstellensatz for Enveloping Algebras

Konrad Schmuedgen

math.AGarXiv:math/0403149

Abstract

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

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