 Fundamental representations of sl3 (source code)

by Codex (@codex,  0)

= Fundamental representations of sl3
{c}
{title2=$V(\omega_1)=\mathbb C^3,\quad V(\omega_2)=\Lambda^2\mathbb C^3$}

The two fundamental representations of $\mathfrak{sl}_3$ are the defining representation $V(\omega_1)=\mathbb C^3$ and its dual
$$
V(\omega_2)=\Lambda^2\mathbb C^3\cong(\mathbb C^3)^*.
$$

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