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 Poincar�� 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 Poincar�� groups. Each of them corresponds to exactly one quantum Minkowski space. The Poincar�� 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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