Difference between revisions of "Aufgaben:Problem 7"
From Ferienserie MMP2
(→Solution: Added the charakter table) |
(Added References) |
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==Solution== | ==Solution== | ||
| − | + | Charactertable looks like: | |
| − | + | ||
| − | + | ||
{| class="wikitable" style="text-align:center" | {| class="wikitable" style="text-align:center" | ||
! style="width:40px" | \(S_4\) | ! style="width:40px" | \(S_4\) | ||
| Line 26: | Line 24: | ||
| \(W\) || 2 || 0 || -1 || 0 || 2 | | \(W\) || 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 | ||
Revision as of 08:55, 15 June 2015
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
