Maximal abelian subgroups of Spin groups and some exceptional simple Lie groups

Abstract

We classify closed abelian subgroups of the simple groups $G_2$, $F_4$, $Aut(so(8))$ having centralizer the same dimension as the dimension of the subgroup, as well as finite abelian subgroups of certain spin and half-spin groups having finite centralizer.

arXiv admin note: text overlap with arXiv:1211.1334