# Changes

## Linear representation theory of symmetric group:S3

, 15:53, 27 May 2011
Interpretation as symmetric group
| [[trivial representation]] || 1 || 3 || [[File:Youngdiag3.png|100px]] || $\frac{3!}{3 \cdot 2 \cdot 1}$ || 1 everywhere
|-
| [[sign representation]] || 1 || 1 + 1 + 1 || [[File:Youngdiag1-1-1.png|70px30px]] || $\frac{3!}{3 \cdot 2 \cdot 1}$ || 1 for even, -1 for odd
|-
| [[standard representation]] || 2 || 2 + 1 || [[File:Youngdiag2-1.png|70px60px]] || $\frac{3!}{3 \cdot 1 \cdot 1}$ || (number of fixed points of permutation) - 1
|}
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