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Quantum Groups and Deformed Special Relativity
Author(s) -
de Azcárraga J. A.,
Kulish P. P.,
Rodenas F.
Publication year - 1996
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190440102
Subject(s) - minkowski space , lorentz transformation , pure mathematics , commutative property , mathematics , reflection (computer programming) , algebra over a field , theory of relativity , space (punctuation) , differential (mechanical device) , differential calculus , theoretical physics , physics , mathematical physics , computer science , quantum mechanics , programming language , operating system , thermodynamics
The structure and properties of possible q ‐Minkowski spaces are reviewed and the corresponding non‐commutative differential calculi are developed in detail and compared with already existing proposals. This is done by stressing the covariance properties of these algebras with respect to the corresponding q ‐deformed Lorentz groups as described by appropriate reflection equations. This allow us to give an unified treatment for different q ‐Minkowski algebras. Some isomorphisms among the space‐time and derivative algebras are demonstrated, and their representations are described briefly. Finally, some, physical consequences and open problems are discussed.