Maximal abelian subgroups of compact matrix groups

Abstract

We classify closed abelian subgroups of the automorphism group of any compact classical simple Lie algebra whose centralizer has the same dimension as the dimension of the subgroup, and describe Weyl groups of maximal abelian subgroups.

arXiv admin note: substantial text overlap with arXiv:1211.1334

References in corpus (1)

• Weyl groups of fine gradings on simple Lie algebras of types A, B, C and D