On automorphisms of the symmetrized bidisc

Abstract

We characterize the group $\mathrm{Aut}({\mathbb{G}}_2)$ for the symmetrized bidisc ${\mathbb{G}}_2:=\{({\lambda }_1+{\lambda }_2,{\lambda }_1{\lambda }_2):|{\lambda }_1|,|{\lambda }_2|<1\}\subset set{\mathbb{C}}^2$.

3 pages

References in corpus (1)

• Description of all complex geodesics in the symmetrized bidisc