极小旋转的非交换扩张
Non-abelian extensions of minimal rotations
摘要：
我们考虑局部连通紧群X上的极小旋转通过任意局部紧李群的连续扩张，并证明了在某些特殊情况下的正则性（即投影到整个基X上的轨道闭包的存在性），这些特殊情况超出了已知的幂零情形。我们进一步讨论了作用于齐性空间上的上循环的一个公开问题，这似乎是一般正则性定理所缺少的关键。
英文摘要：
We consider continuous extensions of minimal rotations on a locally connected compact group X by arbitrary locally compact Lie groups and prove regularity (i.e. the existence of orbit closures which project onto the whole basis X) in certain special situations beyond the already known nilpotent case. We further discuss an open question on cocycles acting on homogeneous spaces which seems to be the missing key for a general regularity theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
