Maximal abelian subgroups of compact simple Lie groups of type E

2014/03/11 by Jun Yu, Yu, Jun · 1 citation
Mathematics · #20E07 #20E45 #20K27 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E07 #msc:20E45 #msc:20K27

paper · pdf · doi:10.48550/arxiv.1403.2680

Together another two papers, this paper replaces arXiv:1211.1334 and also completes arguments in it

arxiv created 2014/03/11 · arxiv updated 2014/03/12

Abstract

We classify closed abelian subgroups of a compact simple Lie group of adjoint type and of type E having centralizer of the same dimension as the dimension of the subgroup and describe Weyl groups of maximal abelian subgroups.

Citations

• Maximal abelian subgroups of compact simple Lie groups

Cited by

• Special pure gradings on simple Lie algebras of types E₆, E₇, E₈
• Maximal abelian subgroups of compact simple Lie groups

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