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arxiv: q-alg/9602001 · v1 · submitted 1996-02-01 · q-alg · math.QA

Poisson structures on the Poincare group

S. Zakrzewski This is my paper
classification q-alg math.QA
keywords inhomogeneouspoissonclassicalgroupcalculatedcoboundaryequationforms
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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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