Representation Theory: We note how to transfer a group action of a group G on a set X to a group action on F(X), the functions on X. Because F(X) is a vector space, we obtain a representation of the group, and we can apply previous techniques. In particular, the group acts on itself in several ways. We give an overview of features to expect from Fourier analysis on the circle group. Course materials, including problem sets and solutions, available at http://mathdoctorbob.org/UR-RepTheory.html
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