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- Borel–de_Siebenthal_theory abstract "In mathematics, Borel–de Siebenthal theory describes the closed connected subgroups of a compact Lie group that have maximal rank, i.e. contain a maximal torus. It is named after the Swiss mathematicians Armand Borel and Jean de Siebenthal who developed the theory in 1949. Each such subgroup is the identity component of the centralizer of its center. They can be described recursively in terms of the associated root system of the group. The subgroups for which the corresponding homogeneous space has an invariant complex structure correspond to parabolic subgroups in the complexification of the compact Lie group, a reductive algebraic group.".
- Borel–de_Siebenthal_theory thumbnail Affine-Dynkin-Diagram-Labelled.png?width=300.
- Borel–de_Siebenthal_theory wikiPageID "38613492".
- Borel–de_Siebenthal_theory wikiPageLength "23162".
- Borel–de_Siebenthal_theory wikiPageOutDegree "39".
- Borel–de_Siebenthal_theory wikiPageRevisionID "679243840".
- Borel–de_Siebenthal_theory wikiPageWikiLink Adjoint_representation.
- Borel–de_Siebenthal_theory wikiPageWikiLink Affine_Dynkin_diagram.
- Borel–de_Siebenthal_theory wikiPageWikiLink Affine_Lie_algebra.
- Borel–de_Siebenthal_theory wikiPageWikiLink Affine_Weyl_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Almost_complex_manifold.
- Borel–de_Siebenthal_theory wikiPageWikiLink Almost_complex_structure.
- Borel–de_Siebenthal_theory wikiPageWikiLink Armand_Borel.
- Borel–de_Siebenthal_theory wikiPageWikiLink Borel_subgroup.
- Borel–de_Siebenthal_theory wikiPageWikiLink Category:Algebraic_groups.
- Borel–de_Siebenthal_theory wikiPageWikiLink Category:Lie_algebras.
- Borel–de_Siebenthal_theory wikiPageWikiLink Category:Lie_groups.
- Borel–de_Siebenthal_theory wikiPageWikiLink Category:Representation_theory.
- Borel–de_Siebenthal_theory wikiPageWikiLink Centralizer.
- Borel–de_Siebenthal_theory wikiPageWikiLink Centralizer_and_normalizer.
- Borel–de_Siebenthal_theory wikiPageWikiLink Compact_Lie_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Compact_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Complexification_(Lie_group).
- Borel–de_Siebenthal_theory wikiPageWikiLink Coxeter_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Dominant_weight.
- Borel–de_Siebenthal_theory wikiPageWikiLink Dynkin_diagram.
- Borel–de_Siebenthal_theory wikiPageWikiLink Fundamental_domain.
- Borel–de_Siebenthal_theory wikiPageWikiLink Fundamental_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Glossary_of_semisimple_groups.
- Borel–de_Siebenthal_theory wikiPageWikiLink Heinz_Hopf.
- Borel–de_Siebenthal_theory wikiPageWikiLink Hermitian_symmetric_space.
- Borel–de_Siebenthal_theory wikiPageWikiLink Identity_component.
- Borel–de_Siebenthal_theory wikiPageWikiLink Irreducible_representation.
- Borel–de_Siebenthal_theory wikiPageWikiLink Mathematics.
- Borel–de_Siebenthal_theory wikiPageWikiLink Maximal_torus.
- Borel–de_Siebenthal_theory wikiPageWikiLink Orthogonal_symmetric_Lie_algebra.
- Borel–de_Siebenthal_theory wikiPageWikiLink Parabolic_subgroup.
- Borel–de_Siebenthal_theory wikiPageWikiLink Reductive_algebraic_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Reductive_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Root_system.
- Borel–de_Siebenthal_theory wikiPageWikiLink Simplex.
- Borel–de_Siebenthal_theory wikiPageWikiLink Symmetric_space.
- Borel–de_Siebenthal_theory wikiPageWikiLink Victor_Kac.
- Borel–de_Siebenthal_theory wikiPageWikiLink Weakly_symmetric_space.
- Borel–de_Siebenthal_theory wikiPageWikiLink Weakly_symmetric_spaces.
- Borel–de_Siebenthal_theory wikiPageWikiLink Weyl_group.
- Borel–de_Siebenthal_theory wikiPageWikiLink Élie_Cartan.
- Borel–de_Siebenthal_theory wikiPageWikiLink File:Affine-Dynkin-Diagram-Labelled.png.
- Borel–de_Siebenthal_theory wikiPageWikiLinkText "Borel–de Siebenthal theory".
- Borel–de_Siebenthal_theory align "left".
- Borel–de_Siebenthal_theory hasPhotoCollection Borel–de_Siebenthal_theory.
- Borel–de_Siebenthal_theory quote "THEOREM. The maximal connected subgroups of maximal rank in G1 up to conjugacy have the form".
- Borel–de_Siebenthal_theory quote "• C'G1 for m'i = 1".
- Borel–de_Siebenthal_theory quote "• C'G1 for m'i a prime.".
- Borel–de_Siebenthal_theory wikiPageUsesTemplate Template:Citation.
- Borel–de_Siebenthal_theory wikiPageUsesTemplate Template:Clear.
- Borel–de_Siebenthal_theory wikiPageUsesTemplate Template:Harvtxt.
- Borel–de_Siebenthal_theory wikiPageUsesTemplate Template:Lie_groups.
- Borel–de_Siebenthal_theory wikiPageUsesTemplate Template:Quote_box.
- Borel–de_Siebenthal_theory wikiPageUsesTemplate Template:Reflist.
- Borel–de_Siebenthal_theory subject Category:Algebraic_groups.
- Borel–de_Siebenthal_theory subject Category:Lie_algebras.
- Borel–de_Siebenthal_theory subject Category:Lie_groups.
- Borel–de_Siebenthal_theory subject Category:Representation_theory.
- Borel–de_Siebenthal_theory comment "In mathematics, Borel–de Siebenthal theory describes the closed connected subgroups of a compact Lie group that have maximal rank, i.e. contain a maximal torus. It is named after the Swiss mathematicians Armand Borel and Jean de Siebenthal who developed the theory in 1949. Each such subgroup is the identity component of the centralizer of its center. They can be described recursively in terms of the associated root system of the group.".
- Borel–de_Siebenthal_theory label "Borel–de Siebenthal theory".
- Borel–de_Siebenthal_theory sameAs m.0r8ps1l.
- Borel–de_Siebenthal_theory sameAs Q17003628.
- Borel–de_Siebenthal_theory sameAs Q17003628.
- Borel–de_Siebenthal_theory wasDerivedFrom Borel–de_Siebenthal_theory?oldid=679243840.
- Borel–de_Siebenthal_theory depiction Affine-Dynkin-Diagram-Labelled.png.
- Borel–de_Siebenthal_theory isPrimaryTopicOf Borel–de_Siebenthal_theory.