Poisson structures on the Poincare 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 Poincar\'e group (inhomogeneous O(1,3)) are calculated.
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