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: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7
0:00 Orthonormal
10:19 Basis
21:15 Summary
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Music: C418 - Pr Department
Видео Representation Theory: Irreducible Characters Are an Orthonormal Basis канала Mu Prime Math
Ring & Module Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7
0:00 Orthonormal
10:19 Basis
21:15 Summary
Subscribe to see more new math videos!
Music: C418 - Pr Department
Видео Representation Theory: Irreducible Characters Are an Orthonormal Basis канала Mu Prime Math
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