The existence of a polynomial factorization map for some compact linear groups

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.

References in corpus (2)

• On the orbit space of a compact linear Lie group with commutative connected component
• On the orbit spaces of irreducible representations of simple compact Lie groups of types B, C, and D