On automorphisms of the symmetrized bidisc

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We characterize the group $\operatorname{Aut}(\mathbb G_2)$ for the symmetrized bidisc $\mathbb G_2:=\{(λ_1+λ_2,λ_1λ_2):|λ_1|,|λ_2|<1\}\sub set\mathbb C^2$.
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