Reduction formula for point group C3v
Characters of input representation
E |
2C3 (z) |
3v |
7 |
1 |
3 |
Decomposition into Irreducible representations
A1 |
A2 |
E |
3 |
0 |
2 |
Symmetric Powers of Representation
Characters of symmetric powers
Tensor Order |
E |
2C3 (z) |
3v |
1 |
7 |
1 |
3 |
2 |
28 |
1 |
8 |
3 |
84 |
3 |
16 |
4 |
210 |
3 |
30 |
5 |
462 |
3 |
50 |
6 |
924 |
6 |
80 |
Decomposition into Irreducible representations
Tensor Order |
A1 |
A2 |
E |
1 |
3 |
0 |
2 |
2 |
9 |
1 |
9 |
3 |
23 |
7 |
27 |
4 |
51 |
21 |
69 |
5 |
103 |
53 |
153 |
6 |
196 |
116 |
306 |
Antisymmetric Powers of Representation
Characters of antisymmetric powers
Tensor Order |
E |
2C3 (z) |
3v |
1 | 7 |
1 |
3 |
2 | 21 |
0 |
1 |
3 | 35 |
2 |
-5 |
4
| 35 |
2 |
-5 |
5
| 21 |
0 |
1 |
6
| 7 |
1 |
3 |
Decomposition into Irreducible representations
Tensor Order |
A1 |
A2 |
E |
1
| 3 |
0 |
2 |
2
| 4 |
3 |
7 |
3
| 4 |
9 |
11 |
4
| 4 |
9 |
11 |
5
| 4 |
3 |
7 |
6
| 3 |
0 |
2 |
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement