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

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.

in Russian

References in corpus (1)

• On the orbit space of a compact linear Lie group with commutative connected component