Representation Theory: Irreducible Characters Are an Orthonormal Basis

A key result in complex representation theory is the fact that, under a specific Hermitian inner product, the characters of the irreducible representations of a finite group G are an orthonormal basis for the vector space of complex-valued class functions on G. This video is an explanation and proof of why the irreducible characters are an orthonormal basis. Ring & Module Theory playlist: /playlist/PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7 0:00 Orthonormal 10:19 Basis 21:15 Summary Subscribe to see more new math videos! Music: C418 - Pr Department

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