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

Abstract

This paper is devoted to the study of topological quotients of compact linear Lie groups. More precisely, it investigates the question of when such a quotient is a topological or a smooth manifold. The topological quotient of a finite linear group was studied by Mikhailova in 1984. Here the connected component of the original Lie group G is assumed to be a torus of positive dimension.

in Russian

Cited by in corpus (5)

• On the orbit spaces of irreducible representations of simple compact Lie groups of types B, C, and D
• The simplest stationary subalgebras, for compact linear Lie algebras
• On the orbit space of a three-dimensional compact linear Lie group
• The existence of a semialgebraic continuous factorization map for some compact linear groups
• The existence of a polynomial factorization map for some compact linear groups