Highly Influential

5 Excerpts

- Published 2006

We prove that Ad-semisimple conjugacy classes in a connected Lie group G are closed embedded submanifolds of G. We also prove that if α : H → G is a homomorphism of connected Lie groups such that the kernel of α is discrete in H, then for an Ad-semisimple conjugacy class C in G, every connected component of α(C) is a conjugacy class in H. Corresponding results for adjoint orbits in real Lie algebras are also proved.

@inproceedings{AN2006TOPOLOGICALPO,
title={TOPOLOGICAL PROPERTIES OF Ad-SEMISIMPLE CONJUGACY CLASSES IN LIE GROUPS},
author={JINPENG AN},
year={2006}
}