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On automorphisms of the symmetrized bidisc

Authors:

Email author" target="_blank">Marek?Jarnicki Email author Peter?Pflug

Institution:

(1) Institute of Mathematics, Jagiellonian University, Reymonta 4, PL-30-059 Kraków, Poland;(2) Institut für Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

Abstract:

We characterize the group Aut $(\mathbb{G}_2 )$ for the symmetrized bidisc

$\mathbb{G}_2 : = \{ (\lambda _1 + \lambda _2 ,\lambda _1 \lambda _2 ):|\lambda _1 |,|\lambda _2 | < 1\} \subset \mathbb{C}^2 .$

Both authors were supported in part by KBN grant no. 5 P03A 033 21 and by DFG grant no. 227/8-1.

Keywords:

Mathematics Subject Classification (2000):" target="_blank">Mathematics Subject Classification (2000): 32M17

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