SU(5)
= SU(5)
{c}
{title2=$SU(5)$}
The <special unitary group> on $\mathbb C^5$ has dimension $24$. Its complexified <Lie algebra> is $\mathfrak{sl}_5(\mathbb C)$, with the <A4 root system>. Its defining <representation>, <exterior square> and <symmetric square> have dimensions $5$, $10$ and $15$.