# physics751 Group Theory

Lecturer

Wirzba, Krewald, Luu, Hanhart

Semester

Winter 2014/2015

## Problem sets

You can also get the LaTeX source code and my handwritten notes in the repository: https://github.com/martin-ueding/physics751-problem-sets

## Cycle structure of $\mathcal S_n$

There was one presence problem where one had to compile a table with the cycle structure for $\mathcal S_4$. Then it asked to do the same thing for $\mathcal S_5$. I wrote a Python 3 program that generates this table. In some aspects, the algorithms are a little brute forced, but it seems to work for small $n$. See the results: Cycle Structure. Also see the project page of https://github.com/martin-ueding/cycle-structure.

## Young frame tensor product

In the thirteenth problem set, we were asked to compute some Young frame tensor products for SU(3) representations. On the problem set, there is an algorithm, that I distilled into this web app.