Quantum groups and deformed special relativity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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New, completely revised version; 6 more pages, many references added. Plain Latex, no macros, 49 pages

Scientific paper

The structure and properties of possible $q$-Minkowski spaces is discussed, and the corresponding non-commutative differential calculi are developed in detail and compared with already existing proposals. This is done by stressing its covariance properties as described by appropriate reflection equations. 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.

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