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Concept information

... > topology > algebraic topology > manifold > differentiable manifold > Lie group > maximal compact subgroup
... > geometry > topological space > manifold > differentiable manifold > Lie group > maximal compact subgroup
geometry > differential geometry > differentiable manifold > Lie group > maximal compact subgroup
topology > differential topology > differentiable manifold > Lie group > maximal compact subgroup
algebra > group theory > topological group > Lie group > maximal compact subgroup
algebra > group theory > subgroup > maximal compact subgroup

Terme préférentiel

maximal compact subgroup  

Définition(s)

  • 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Maximal_compact_subgroup)

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http://data.loterre.fr/ark:/67375/PSR-D3HJ5WS9-G

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RDF/XML TURTLE JSON-LD Date de création 30/08/2023, dernière modif. 30/08/2023