On the Positivstellensatz for Enveloping Algebras

J. Nahas

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arXiv · 1101.4526

On the Positivstellensatz for Enveloping Algebras

J. Nahas

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Abstract

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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J. Nahas. 2011-01-24. On the Positivstellensatz for Enveloping Algebras. https://arxiv.org/abs/1101.4526

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