6533b836fe1ef96bd12a1398

RESEARCH PRODUCT

Quantum groups and deformed special relativity

P. P. KulishJ. A. De AzcárragaF. RodenasF. Rodenas

subject

High Energy Physics - TheoryPure mathematicsLorentz transformationStructure (category theory)FOS: Physical sciencesCovariancesymbols.namesakeReflection (mathematics)High Energy Physics - Theory (hep-th)Doubly special relativitysymbolsDifferential (infinitesimal)QuantumMathematics

description

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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