Maximal abelian subgroups of compact matrix groups

2014/03/11 by Jun Yu, Yu, Jun
Mathematics · #20E07 #20E45 #20K27 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1403.2675

openalex publication_date 2014/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Elementary abelian p-subgroups of algebraic groups

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