Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)

Abstract

We give a quadratic lower bound on the dimension of the space of conjugacy classes of subgroups of SL(n,R) that are limits under conjugacy of the diagonal subgroup. We give the first explicit examples of abelian n-1 dimensional subgroups of SL(n,R) which are not such a limit, however all such abelian groups are limits of the diagonal group iff n < 5.

References in corpus (2)

• Spaces of closed subgroups of locally compact groups
• Conjugacy Limits of the Cartan Subgroup in SL(3,R)

Cited by in corpus (3)

• The classification of ends of properly convex real projective orbifolds II: Properly convex radial ends and totally geodesic ends
• A classification of radial and totally geodesic ends of properly convex real projective orbifolds III: the convex but nonproperly convex and non-complete-affine radial ends
• Conjugacy Limits of the Cartan Subgroup in SL(3,R)