The existence of a polynomial factorization map for some compact linear groups
Algebraic Geometry
2014-11-24 v1 Differential Geometry
Abstract
It is proved that each of compact linear groups of one special type admits a polynomial factorization map onto a real vector space. More exactly, the group is supposed to be non-commutative one-dimensional and to have two connected components, and its representation should be the direct sum of three irreducible two-dimensional real representations at least two of them being faithful.
Cite
@article{arxiv.1411.5904,
title = {The existence of a polynomial factorization map for some compact linear groups},
author = {O. G. Styrt},
journal= {arXiv preprint arXiv:1411.5904},
year = {2014}
}