The history of the theory of group characters begins with Gauss. In Sections 228–233 of his “Disquisitiones arithmeticae”, Gauss discusses the question: What kind of integers n can or cannot be represented by a given binary quadratic form (1) F = ax 2 + 2bxy + cy 2 with integer coefficients a, b, c?
KeywordsAbelian Group Irreducible Representation Finite Group Group Algebra Commutative Algebra
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