Maximal abelian subgroups of Spin groups and some exceptional simple Lie groups

2014/03/11 by Jun Yu, Yu, Jun
Mathematics · Physics and Astronomy · #20E07 #20E45 #20K27 #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #msc:20E07 #msc:20E45 #msc:20K27

paper · pdf · doi:10.48550/arxiv.1403.2679

arXiv admin note: text overlap with arXiv:1211.1334

arxiv created 2014/03/11 · openalex publication_date 2014/03/11 · arxiv updated 2014/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We classify closed abelian subgroups of the simple groups G₂, F₄, Aut(so(8)) having centralizer the same dimension as the dimension of the subgroup, as well as finite abelian subgroups of certain spin and half-spin groups having finite centralizer.

Citations

• Maximal abelian subgroups of compact simple Lie groups

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