Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors

DOI10.1007/s13324-021-00644-8zbMath1490.81007arXiv2101.00670OpenAlexW3121032093MaRDI QIDQ2075818

Antonio M. Peralta, Yaakov Friedman

Publication date: 16 February 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00670

zbMATH Keywords

Wigner theoremspin factorsCartan factorstriple isomorphismsatomic \(\mathrm{JBW}^*\)-triplepartial order set of tripotentsUhlhorn theorem

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Applications of operator theory in the physical sciences (47N50) Applications of Lie groups to the sciences; explicit representations (22E70) Operator algebra methods applied to problems in quantum theory (81R15) Inner product spaces and their generalizations, Hilbert spaces (46C99) Jordan structures on Banach spaces and algebras (17C65) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries

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