Maximal abelian subgroups of compact simple Lie groups

Abstract

We classify abelian subgroups of the automorphism group of any compact simple Lie algebra whose centralizer has the same dimension as the dimension of the subgroup. This leads to a classification of the maximal abelian subgroups of compact simple groups of adjoint type and a classification of the fine group gradings of complex simple Lie algebras.

Replaced by arXiv:1403.2680

References in corpus (2)

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

Cited by in corpus (4)

• Maximal finite abelian subgroups of E8
• An overview of fine gradings on simple Lie algebras
• Fine gradings on the simple Lie algebras of type $E$
• Weyl groups of the fine gradings on $\e_6$