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• W2149004421 abstract "This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) those of trivial type, which are simply defined as inverse images of maximal subgroups of the corresponding component group under the canonical projection and whose classification constitutes a problem in finite group theory, (2) those of normal type, whose connected one-component is a normal subgroup, and (3) those of nor- malizer type, which are the normalizers of their own connected one-component. It is also shown how to reduce the classification of maximal subgroups of the last two types to: (2) the classification of the finite maximal �-invariant subgroups of centerfree connected compact simple Lie groups and (3) the classification of the �-primitive subalgebras of compact simple Lie algebras, whereis a sub- group of the corresponding outer automorphism group. In the second part, we explicitly compute the normalizers of the primitive subalgebras of the compact classical Lie algebras (in the corresponding classical groups), thus arriving at the complete classification of all (non-discrete) maximal subgroups of the compact classical Lie groups. Mathematics Subject Classification 2000: 22E15." @default.
• W2149004421 created "2016-06-24" @default.
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• W2149004421 creator A5023534574 @default.
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• W2149004421 date "2006-05-31" @default.
• W2149004421 modified "2023-09-27" @default.
• W2149004421 title "Maximal Subgroups of Compact Lie Groups" @default.
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• W2149004421 hasPublicationYear "2006" @default.
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