Applications of the Fundamental Theorems of Projective and Affine Geometry in Physics

DOI10.1007/978-3-030-34072-8_19zbMath1442.81032OpenAlexW2989574810MaRDI QIDQ3294719

Patrick Moylan

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_19

zbMATH Keywords

Wigner's theoremAlexandrov-Zeeman theorem

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Structure and representation of the Lorentz group (22E43) General theory of linear incidence geometry and projective geometries (51A05) Applications of group representations to physics and other areas of science (20C35) Projective representations and multipliers (20C25)

Cites Work

• On the realization of symmetries in quantum mechanics
• An elementary proof of the fundamental theorem of projective geometry
• The structure of space-time transformations
• On the Fundamental Theorem of Affine Geometry
• Causality Implies the Lorentz Group
• Comment on: ``Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics
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