Maximal compact subgroup
In mathematics, a maximal compact subgroup K of a topological group G is a subgroup K that is a compact space, in the subspace topology, and maximal amongst such subgroups. Maximal compact subgroups play an important role in the classification of Lie groups and especially semi-simple Lie groups. Maximal compact subgroups of Lie groups are not in general unique, but are unique up to conjugation – they are essentially unique.
(g,K)-moduleBlattner's conjectureCharacter varietyClassical groupCompact groupDifferential geometry of surfacesDiscrete series representationEssentially uniqueFlag (linear algebra)G-structure on a manifoldGIT quotientGelfand pairGeneral linear groupGeneralized flag varietyGlossary of Lie groups and Lie algebrasHigher-dimensional supergravityIndefinite orthogonal groupInvariant convex coneIwasawa decompositionKazhdan–Lusztig polynomialKempf–Ness theoremKuiper's theoremLanglands classificationLie algebra representationMutation (Jordan algebra)Möbius transformationPlancherel theorem for spherical functionsPrincipal series representationProjective linear groupProjective orthogonal groupQuadric (algebraic geometry)Quaternionic discrete series representationReductive groupRepresentation theoryRepresentations of classical Lie groupsSL2(R)Spin groupSymmetric coneSéminaire Nicolas Bourbaki (1950–1959)Séminaire Nicolas Bourbaki (1960–1969)
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Maximal compact subgroup
In mathematics, a maximal compact subgroup K of a topological group G is a subgroup K that is a compact space, in the subspace topology, and maximal amongst such subgroups. Maximal compact subgroups play an important role in the classification of Lie groups and especially semi-simple Lie groups. Maximal compact subgroups of Lie groups are not in general unique, but are unique up to conjugation – they are essentially unique.
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In mathematics, a maximal comp ...... – they are essentially unique.
@en
Максимальна компактна підгрупа ...... — вони є суттєво сполученими.
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Максимальная компактная подгру ...... сопряжённости — они являются .
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数学中，一个拓扑群 G 的极大紧子群 K 是一个在子空间拓扑 ...... 般不是惟一的，但在相差一个共轭的意义下是惟一的——他们是的。
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In mathematics, a maximal comp ...... – they are essentially unique.
@en
Максимальна компактна підгрупа ...... — вони є суттєво сполученими.
@uk
Максимальная компактная подгру ...... сопряжённости — они являются .
@ru
数学中，一个拓扑群 G 的极大紧子群 K 是一个在子空间拓扑 ...... 般不是惟一的，但在相差一个共轭的意义下是惟一的——他们是的。
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Maximal compact subgroup
@en
Максимальна компактна підгрупа
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Максимальная компактная подгруппа
@ru
极大紧子群
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