Show simple item record

dc.contributor.authorAntoneli, Fernando [UNIFESP]
dc.contributor.authorForger, Michael
dc.contributor.authorGaviria, Paola
dc.identifier.citationJournal Of Lie Theory. Lemgo: Heldermann Verlag, v. 22, n. 4, p. 949-1024, 2012.
dc.description.abstractThis 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 normalizer 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 Sigma-invariant subgroups of centerfree connected compact simple Lie groups and (3) the classification of the Sigma-primitive subalgebras of compact simple Lie algebras, where Sigma is a subgroup 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.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.publisherHeldermann Verlag
dc.relation.ispartofJournal Of Lie Theory
dc.rightsAcesso restrito
dc.subjectLie groupsen
dc.subjectLie algebrasen
dc.subjectCompact groupsen
dc.subjectMaximal subgroupsen
dc.titleMaximal Subgroups of Compact Lie Groupsen
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.description.affiliationUniv Fed Sao Paulo, Escola Paulista Med, BR-04039062 Sao Paulo, Brazil
dc.description.affiliationUniv Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo, Brazil
dc.description.affiliationUnifespUniv Fed Sao Paulo, Escola Paulista Med, BR-04039062 Sao Paulo, Brazil
dc.description.sourceWeb of Science

Files in this item


There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record