On the classification of quantum Poincaré groups

Details On the classification of quantum Poincaré groups On the classification of quantum Poincaré groups

1994-12-07

arxiv.org/abs/hep-th/9412059v3

Commun.Math.Phys.178:61-82,1996

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX file, minor changes in Remarks 1.7-8

Scientific paper

10.1007/BF02104908

Using the general theory of [10] ( hep-th 9412058 ), quantum Poincar\'e 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\'e groups. Each of them corresponds to exactly one quantum Minkowski space. The Poincar\'e 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.

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