The definition of the $SU(2)$ group is :
$$ SU(2):=\left\{ \pmatrix{\alpha & - \overline{\beta} \\ \beta &\overline{\alpha} } : \alpha,\beta \in \mathbb{C}, |\alpha|^2+|\beta|^2=1 \right\} $$
What is the equivalent definition for $SU(3)$?
2026-04-04 08:35:02.1775291702
What is the definition of the $SU(3)$ group?
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Consider $3×3$ matrices $U$ instead of $2×2$, with the same conditions: $U^*=U^{-1}$ and $\operatorname{det}U=1$.