Aufgaben:Problem 7
From Ferienserie MMP2
Exercise
Compute the character table of \(S_4\)
Solution
Charactertable looks like:
| \(S_4\) | \(e\) | \(6C_2\) | \(8C_3\) | \(6C_4\) | \(3C_{2,2}\) |
|---|---|---|---|---|---|
| \(U\) | 1 | 1 | 1 | 1 | 1 |
| \(U'\) | 1 | -1 | 1 | -1 | 1 |
| \(V\) | 3 | 1 | 0 | -1 | -1 |
| \(V'\) | 3 | -1 | 0 | 1 | -1 |
| \(W\) | 2 | 0 | -1 | 0 | 2 |
References
https://unapologetic.wordpress.com/2010/11/08/the-character-table-of-s4/
https://www.itp.uni-hannover.de/~flohr/lectures/symm/handout2.pdf
