On the Positivstellensatz for Enveloping Algebras

Details On the Positivstellensatz for Enveloping Algebras On the Positivstellensatz for Enveloping Algebras

2011-01-24

arxiv.org/abs/1101.4526v2

Mathematics

Operator Algebras

This paper has been withdrawn by the author due to an incorrect assumption concerning the centers of enveloping algebras

Scientific paper

We use Reznick's Theorem for positive homogeneous polynomials to prove an
elliptic regularity result for representations of enveloping algebras of Lie
algebras. This allows us to relax a technical condition for a sum of squares
decomposition for representations of these algebras.

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