Peking Mathematical Journal | 2021
Acceptable Compact Lie Groups
Abstract
This paper contributes to the goal of classifying acceptable groups. We show that for a connected compact semisimple Lie group to be acceptable it is necessary and sufficient that it is isomorphic to a direct product of the groups $SU(n)$, $Sp(n)$, $SO(2n+1)$, $G_2$, $SO(4)$.