Real pseudo-orthogonal groups and the canonical commutation relations

DOI10.1007/978-3-319-69164-0_40zbMath1390.81261OpenAlexW2784165271MaRDI QIDQ4643466

Patrick Moylan

Publication date: 24 May 2018

Published in: Physical and Mathematical Aspects of Symmetries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-69164-0_40

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Applications of Lie (super)algebras to physics, etc. (17B81) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Applications of group representations to physics and other areas of science (20C35) Universal enveloping algebras of Lie algebras (16S30) Associative rings of fractions and localizations (16S85)

Cites Work

• Analysis in space-time bundles. I: General considerations and the scalar bundle
• Modular Lie algebras and the Gelfand-Kirillov conjecture
• Invariant convex cones and causality in semisimple Lie algebras and groups
• Harmonic analysis on hyperboloids
• A class of counterexamples to the Gel’fand-Kirillov conjecture
• Localization and the Canonical Commutation Relations
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