Recent content by glmuelle

Thank you Stephen. I had tried to preview the post before I posted but somehow I got 'unknown error' three times. Then I just submitted it without previewing, I'm sorry for this.

I don't know how to do the following homework: Let Gbe a finite group and let \rho : G \rightarrow GL(E)be a finite-dimensional faithful complex representation, i.e. ker \rho = 1. For any irreducible complex representation \piof G, show that there exists k \geq 1 such that \pi is an...

Thank you very much, that answered my question!

Hi I'm trying to solve this exercise "Prove that if C is a circular cylinder with S_1 and S_2 as its boundary circles and S_1 and S_2 are identified by mapping them both homeomorphically onto some third circle S, giving a map f: S_1 \cup S_2 \rightarrow S then (C - S_1 \cup S_2) \cup S...

Hi Homework Statement Verify, that u(\vec{x}) := - \frac{1}{2 \pi} \int \limits_{\mathbb{R}^2} \log ||\vec{x} - \vec{y} || f(\vec{y}) d \vec{y} is the general solution of the 2 dimensional Poisson equation: \Delta u = - f where f \in C^2_c(\mathbb{R}^2) is...