📜 Theorem, law or theory

Peter–Weyl theorem

Teorema de Peter-Weyl

Date
1927 · confidence high
Place
Zurich, Switzerland
Credited to
Fritz Peter y Hermann Weyl
Field
Knowledge & symbols

What was discovered

A fundamental theorem of harmonic analysis generalizing to compact, not necessarily abelian, topological groups the classical results on the regular representation of finite groups; proved by Hermann Weyl with his student Fritz Peter.

What it led to

  • Cornerstone of representation theory and harmonic analysis
  • Basis for Fourier analysis on compact groups
  • Influenced the later development of the Langlands program

Links

Sources✓ verified 2026-09-28