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Bull. Korean Math. Soc. 2023; 60(2): 307-313

Online first article March 17, 2023      Printed March 31, 2023

https://doi.org/10.4134/BKMS.b210928

Copyright © The Korean Mathematical Society.

Conjugacy classification of $n$-dimensional M\"obius group

Binlin Dai, Zekun Li

Shanghai University of Finance and Economics; Shanghai University of Finance and Economics

Abstract

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In this paper, we study the $n$-dimensional M\"obius transformation. We obtain several conjugacy invariants and give a conjugacy classification for $n$-dimensional M\"obius transformation.

Keywords: Conjugacy classification, Clifford algebra, $\operatorname{SL} (2,\Gamma_{n})$

MSC numbers: Primary 30F40, 20H10

Supported by: The research has been supported by the National Nature Science Foundation of China (No.11771266).

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