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

Algebraic Geometry 2014-12-02 v1

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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Cite

@article{arxiv.1411.5958,
  title  = {On the orbit space of a compact linear Lie group with commutative connected component},
  author = {O. G. Styrt},
  journal= {arXiv preprint arXiv:1411.5958},
  year   = {2014}
}

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