On the classification of quantum Poincaré groups
Copyright policy )On the classification of quantum Poincaré groups
Using the general theory of [10] ( hep-th 9412058 ), quantum Poincaré groups (without dilatations) are described and investigated. The description contains a set of numerical parameters which satisfy certain polynomial equations. For most cases we solve them and give the classification of quantum Poincaré groups. Each of them corresponds to exactly one quantum Minkowski space. The Poincaré series of these objects are the same as in the classical case. We also classify possible $R$-matrices for the fundamental representation of the group.
31 pages, LaTeX file, minor changes in Remarks 1.7-8
- University of California, Berkeley United States
- University of Warsaw Poland
High Energy Physics - Theory, Hopf *-algebras, quantum groups, quantum Lorentz group, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 17B37, Hopf algebras (associative rings and algebras), quantum Poincaré group, 81R50, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), quantum Minkowski space
High Energy Physics - Theory, Hopf *-algebras, quantum groups, quantum Lorentz group, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 17B37, Hopf algebras (associative rings and algebras), quantum Poincaré group, 81R50, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), quantum Minkowski space
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