SU(6)
= SU(6)
{c}
{title2=$SU(6)$}
The <special unitary group> on $\mathbb C^6$ has dimension $35$. Its complexified <Lie algebra> is $\mathfrak{sl}_6(\mathbb C)$, with the <A5 root system>. Its defining <representation> and <exterior square> have dimensions $6$ and $15$.