Loterre: Matemáticas: maximal compact subgroup

... > algebraic topology > manifold > differentiable manifold > Lie group > maximal compact subgroup

... > 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

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

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