论文标题
提起轨道空间的异位
Lifting isometries of orbit spaces
论文作者
论文摘要
给定一个紧凑型组的正交表示，我们表明轨道空间的等距组的连接组件的任何元素都将其升至原始欧几里得空间的均衡等轴测图。推论包括该连接组件的简单公式，该公式适用于``大多数''表示形式。
Given an orthogonal representation of a compact group, we show that any element of the connected component of the isometry group of the orbit space lifts to an equivariant isometry of the original Euclidean space. Corollaries include a simple formula for this connected component, which applies to ``most'' representations.
