= Peter–Weyl theorem
{wiki=Peter–Weyl_theorem}
The Peter–Weyl theorem is a fundamental result in the representation theory of compact topological groups. It describes how the regular representation of a compact group can be decomposed into irreducible representations. Here's a brief overview of the main points of the theorem: 1. **Compact Groups**: The theorem applies specifically to compact groups, which are groups that are also compact topological spaces. Examples include \\(SU(n)\\), \\(SO(n)\\), and \\(U(n)\\).
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