Aut(SH2)元素的根

Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-12

A. Mirzapour, R. Eskandari

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引用次数: 0

摘要

．研究了复维三维上半平面上的自同构的根。我们利用Sp (2, R)中任意元素在Sp (2, R)共轭下的范式，证明了一些自同构有根，一些自同构没有根。作为应用，我们推广了同维的西格尔单位盘。

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The roots of elements of Aut(SH2)

. We study the roots of automorphisms on the Siegel upper half plane of complex di-mension three. We use the normal form of any element of Sp ( 2 , R ) under the conjugation in Sp ( 2 , R ) to show that some of automorphisms have roots and that some of them do not have. As an application, we generalize the Siegel unit disk of the same dimension.

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