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.

Read more about Maximal Compact Subgroup:  Example, Definition

Famous quotes containing the word compact:

    The worst enemy of truth and freedom in our society is the compact majority. Yes, the damned, compact, liberal majority.
    Henrik Ibsen (1828–1906)