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arXiv · 1411.5958

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

O. G. Styrt
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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.

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O. G. Styrt. 2014-11-21. On the orbit space of a compact linear Lie group with commutative connected component. https://doi.org/10.1090/s0077-1554-09-00178-2

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