English

Maximal abelian subgroups of compact matrix groups

Group Theory 2014-03-12 v1

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.

Keywords

Cite

@article{arxiv.1403.2675,
  title  = {Maximal abelian subgroups of compact matrix groups},
  author = {Jun Yu},
  journal= {arXiv preprint arXiv:1403.2675},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1211.1334

R2 v1 2026-06-22T03:24:33.298Z