Closed orbits of real reductive representations

Abstract

We prove that the set of closed orbits in a real reductive representation contains a subset which is open with respect to the real Zariski topology if it has non-empty interior. In particular the set of closed orbits is dense.

7 pages

References in corpus (2)

• Convexity properties of gradient maps
• A Quotient Restriction Theorem for actions of real reductive groups

Cited by in corpus (1)

• On distinguished orbits of reductive representations