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A Strict Positivstellensatz for Enveloping Algebras

Algebraic Geometry 2007-05-23 v1 Functional Analysis

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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Cite

@article{arxiv.math/0403149,
  title  = {A Strict Positivstellensatz for Enveloping Algebras},
  author = {Konrad Schmuedgen},
  journal= {arXiv preprint arXiv:math/0403149},
  year   = {2007}
}

Comments

15 pages

R2 v1 2026-07-22T17:03:15.136Z