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arXiv · 1411.7963

On the orbit space of a three-dimensional compact linear Lie group

O. G. Styrt
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Abstract

We study the question of whether the topological quotient of a real linear representation of a simple three-dimensional compact Lie group is a manifold. We obtain an upper bound for the dimension of a representation whose quotient is a manifold, and examine most of the remaining cases.

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O. G. Styrt. 2014-11-28. On the orbit space of a three-dimensional compact linear Lie group. https://doi.org/10.1070/im2011v075n04abeh002553

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