A note on closed subgroups of compact Lie groups

Abstract

We reduce the classification of finite subgroups in compact Lie groups to that of quasi-simple ones, prove the number of conjugacy classes is finite and each cojugacy class is Zariski closed in mapping space, and classify "strongly controlling fusions" symmetric pairs.

v3, 17 pages

References in corpus (1)

• 1998 Moursund Lectures at the University of Oregon

Cited by in corpus (3)

• Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups
• A rigidity result for dimension data
• Elementary abelian 2 subgroups of compact Lie groups