Geodesic
On roots of the automorphism group of a circular domain in $ℂ^n$
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 269-276 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the properties of the group Aut(D) of all biholomorphic transformations of a bounded circular domain D in $ℂ^n$ containing the origin. We characterize the set of all possible roots for the Lie algebra of Aut(D). There exists an n-element set P such that any root is of the form α or -α or α-β for suitable α,β ∈ P.
DOI : 10.4064/ap-55-1-269-276
Keywords: circular domain, automorphism group, maximal torus, Lie algebra, adjoint representation, root, root subspace

Jan Myszewski 1

1 
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Jan Myszewski. On roots of the automorphism group of a circular domain in $ℂ^n$. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 269-276. doi: 10.4064/ap-55-1-269-276

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