On the orbit spaces of irreducible representations of simple compact Lie groups of types B, C, and D

Abstract

It is proved that the orbit space of an irreducible representation of a simple connected compact Lie group of type B, C, or D can be a smooth manifold only in two cases.

References in corpus (2)

• On the orbit space of a compact linear Lie group with commutative connected component
• The simplest stationary subalgebras, for compact linear Lie algebras

Cited by in corpus (2)

• 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