Geometric classification of general dynamical systems

DOI10.1007/BF00669349zbMath0706.17018OpenAlexW2090357872MaRDI QIDQ919087

A. Petrov

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00669349

zbMATH Keywords

Lie algebrasquantum dynamical systemsinvariant conesaxiomaticsspectral theory of ordered vector spaces

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometric quantization (53D50)

Cites Work

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• Invariantly ordered spectral Lie algebras as abstract dynamical systems
• Determination of invariant convex cones in simple Lie algebras
• Invariant convex cones and causality in semisimple Lie algebras and groups
• Finding decompositions of a class of separable states
• The operational approach to algebraic quantum theory. I
• An operational approach to quantum probability
• Classification of invariant cones in Lie algebras

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