Compact Group

Compact Group

In mathematics, a compact (topological, often understood) group is a topological group whose topology is compact. Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory.

In the following we will assume all groups are Hausdorff spaces.

Read more about Compact Group:  Compact Lie Groups, Further Examples, Haar Measure, Representation Theory, Duality, From Compact To Non-compact Groups

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