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Computing $\mathbb{C}[x,y]^G$ or $\mathbb{C}[x,y,z]^G$ where $G$ is a finite subgroup of $GL_n(\mathbb{C})$
My question is related to this link: Ring of Invariant
$\mathbf{Question \;1}$. Let
$$
A = \left( \begin{array}{cc}
0 & -1 \\
1& 0 \\
\end{array}
\right).
$$
Then $C= \langle A\rangle$ ...
