Krein Spaces in de Sitter Quantum Theories

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Gazeau, J.P., Siegl, P., Youssef, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146149
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Krein Spaces in de Sitter Quantum Theories / J.P. Gazeau, P. Siegl, A. Youssef // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 31 назв. — англ.

Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1,4) or Sp(2,2) as an appealing substitute to the flat space-time Poincaré relativity. Quantum elementary systems are then associated to unitary irreducible represent...