Problem
Character Table of $S_3$
Using Dimension Formula and Schur's Lemma, compute the complete character
table of the symmetric group $S_3$.
Verify the column orthogonality relations:
\[
\sum_{\chi \in \hat{G}} \chi(g)\,\overline{\chi(h)}
\;=\; |C_G(g)| \cdot \delta_{[g],[h]}.
\]
Depends on
Dependency Graph
flowchart LR
classDef current fill:#6366f1,color:#fff,stroke:#4f46e5
n3b157f10["Dimension Formula"]
n36e5bd4f["Schur's Lemma"]
n1b852777["Character Table of $S_3$"]:::current
n3b157f10 --> n1b852777
n36e5bd4f --> n1b852777
click n3b157f10 "../objects/3b157f10.html" "_self"
click n36e5bd4f "../objects/36e5bd4f.html" "_self"