Fourier Transform on Finite Groups and Related Transforms
A group is a set with an associative operation, an identity for the operation, with the property that every element has an inverse. We will conventionally denote the operation as multiplication, and 1 for the identity. Typical examples of abelian, i.e., commutative, groups include rings and fields, with respect to addition. Nonabelian groups that arise naturally are permutation groups and groups of geometric transformations.
KeywordsIrreducible Representation Finite Group Conjugacy Class Orthogonal Polynomial Unitary Representation
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