Consider the action of $SU(3)$ on the complex projective plane $\mathbb CP^2$. How we can find the isotropy group?
2026-04-03 17:32:49.1775237569
The isotropy of the action of $SU(3)$ on $\mathbb CP^2$
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Hint: if $g\in\mathrm{SU}(3)$ stabilizes the $1$-dim complex subspace $\mathbb{C}\times\{(0,0)\}$ then it is a block matrix with blocks of sizes $1$ and $2$.