Recognition: unknown
Maximal abelian subgroups of compact matrix groups
classification
🧮 math.GR
keywords
abeliansubgroupscompactdimensiongroupsmaximalalgebraautomorphism
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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.
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