Tag Archives: torus

Polynomials and Representations XXX

Posted on June 17, 2016 by limsup

Representations of GLn and Un Note: all representations of topological groups are assumed to be continuous and finite-dimensional. Here, we will look at representations of the general linear group  We fix the following notations: denotes for some fixed ; is the … Continue reading →

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Polynomials and Representations XXIX

Posted on June 15, 2016 by limsup

Characters Definition. The character of a continuous G-module 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 →

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Topology: Product Spaces (I)

Posted on January 27, 2013 by limsup

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 set-theoretic product, we wish to define a metric on Z from dX and … Continue reading →

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