X iv : q - a lg / 9 60 20 01 v 1 1 F eb 1 99 6 Poisson structures on the Poincaré group

Abstract

An introduction to inhomogeneous Poisson groups is given. Poisson inhomogeneous O(p, q) are shown to be coboundary, the generalized classical Yang-Baxter equation having only one-dimensional right hand side. Normal forms of the classical r-matrices for the Poincaré group (inhomogeneous O(1, 3)) are calculated. 

Topics

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Cite this paper

@inproceedings{Zakrzewski1997XI, title={X iv : q - a lg / 9 60 20 01 v 1 1 F eb 1 99 6 Poisson structures on the Poincar{\'e} group}, author={Sabine Zakrzewski}, year={1997} }