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 Poincaré group (inhomogeneous $O(1,3)$) are calculated.

29 pages, LaTeX

References in corpus (4)

• On the classification of quantum Poincaré groups
• On the structure of inhomogeneous quantum groups
• Poisson homogeneous spaces
• Classical mechanical systems based on Poisson symmetry

Cited by in corpus (70)

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