Poincare群上的Poisson结构
Poisson structures on the Poincare group
摘要：
给出了非齐次Poisson群的一个基本概念。Poisson非齐次方程$O(p,q)$是共边界的，推广的经典Yang-Baxter方程只有一维右端.计算了Poincaré群（非齐次$O(1,3)$）的经典$r$ -矩阵的标准形.
英文摘要：
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.
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