论文标题
非虚拟阿贝尔不连续的小组动作与适当的SL(2,r) - 均匀空间的行为
Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
论文作者
论文摘要
我们开发了算法和计算机程序,这些算法和计算机程序验证了在半同质空间上离散群体行为的适当性的标准。我们应用这些算法来查找对均质空间上不连续的非连续群体行为的新示例,这些算法不接受适当的SL(2,R)actions。
We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new examples of non-virtually abelian discontinuous group actions on homogeneous spaces which do not admit proper SL(2,R)-actions.