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- Maximal_torus abstract "In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups.A torus in a compact Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to the standard torus Tn). A maximal torus is one which is maximal among such subgroups. That is, T is a maximal torus if for any other torus T′ containing T we have T = T′. Every torus is contained in a maximal torus simply by dimensional considerations. A noncompact Lie group need not have any nontrivial tori (e.g. Rn).The dimension of a maximal torus in G is called the rank of G. The rank is well-defined since all maximal tori turn out to be conjugate. For semisimple groups the rank is equal to the number of nodes in the associated Dynkin diagram.".
- Maximal_torus wikiPageID "360136".
- Maximal_torus wikiPageRevisionID "544861986".
- Maximal_torus hasPhotoCollection Maximal_torus.
- Maximal_torus subject Category:Lie_groups.
- Maximal_torus subject Category:Representation_theory_of_Lie_groups.
- Maximal_torus type Abstraction100002137.
- Maximal_torus type Group100031264.
- Maximal_torus type LieGroups.
- Maximal_torus comment "In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups.A torus in a compact Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to the standard torus Tn). A maximal torus is one which is maximal among such subgroups. That is, T is a maximal torus if for any other torus T′ containing T we have T = T′.".
- Maximal_torus label "Maximal torus".
- Maximal_torus label "Tore maximal".
- Maximal_torus label "Максимальный тор".
- Maximal_torus label "極大環面".
- Maximal_torus sameAs Tore_maximal.
- Maximal_torus sameAs m.01_bn6.
- Maximal_torus sameAs Q1000120.
- Maximal_torus sameAs Q1000120.
- Maximal_torus sameAs Maximal_torus.
- Maximal_torus wasDerivedFrom Maximal_torus?oldid=544861986.
- Maximal_torus isPrimaryTopicOf Maximal_torus.