In finite groups, there are always irreducibles. This means that there is a unique solution to a pro

12 Views· 03/03/23
HighSchoolMath
HighSchoolMath
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Representation Theory: Using the Schur orthogonality relations, we obtain an orthonormal basis of L^2(G) using matrix coefficients of irreducible representations. This shows the sum of squares of dimensions of irreducibles equals |G|. We also obtain

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