RT7.1: Finite Abelian Groups: Character Orthogonality

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We establish an analogue of Fourier analysis for a finite abelian group G. A decomposition of L^2(G) is given in terms of characters. Versions of Schur Orthogonality Relations and the Peter-Weyl Theorem are given.

  1. MathDoctorBob
  2. Representation
  3. theory
  4. matrix
  5. linear
  6. algebra
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Комментарии
Автор

You're welcome! Not yet. The plan is to clean up this playlist and finish with characters and basic finite Fourier analysis. I should have enough tools for Clifford's Theorem; I'm better with Lie groups than finite groups. - Bob

MathDoctorBob
Автор

@tonywho3 try using the fundamental theorem

james
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hi, can you help me with this question:
Prove that every abelian group of order p^2 where p is a prime, is either cyclic or isomorphic to the direct product of 2 cyclic groups.

tonywho