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Tag Archives: torus
Polynomials and Representations XXX
Representations of GLn and Un Note: all representations of topological groups are assumed to be continuous and finitedimensional. Here, we will look at representations of the general linear group We fix the following notations: denotes for some fixed ; is the … Continue reading
Polynomials and Representations XXIX
Characters Definition. The character of a continuous Gmodule V is defined as: This is a continuous map since it is an example of a matrix coefficient. Clearly for any . The following are quite easy to show: The last equality, … Continue reading
Topology: Product Spaces (I)
In this article, we consider the product of two topological spaces. To motivate our definition, we first begin with metric spaces (X, dX) and (Y, dY). Letting Z = X × Y be the settheoretic product, we wish to define a metric on Z from dX and … Continue reading
Posted in Notes
Tagged advanced, metric spaces, product topology, subspaces, topology, torus
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