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In this paper, we establish some conjugacy criteria of M\"{o}bius groups in infinite dimension by using Clifford matrices. This extends the corresponding known results in finite dimensional setting.
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참고문헌 (13)
참고문헌 신청
L. V. Ahlfors / 1985 / On the fixed points of Mobius transformations in Rn / Ann. Acad. Sci. Fenn. Ser. A I Math 10:15~27
B. N. Apanasov / 1991 / The Geometry of Discrete Groups and Manifolds / Nauka
M. Chen / 2002 / The extension of Mobius groups / Complex Var. Theory Appl 47(3):225~228
M. Frunza / 1991 / Mobius transformations in infinite dimension / Rev. Roumaine Math. Pures Appl 36(7-8):369~376
X. Fu / 2014 / A characterization of Fuchsian groups in SU(n, 1) / Complex Var. Elliptic Equ 59(5):723~731
B. N. Apanasov / 1991 / The Geometry of Discrete Groups and Manifolds / Nauka
M. Chen / 2002 / The extension of Mobius groups / Complex Var. Theory Appl 47(3):225~228
M. Frunza / 1991 / Mobius transformations in infinite dimension / Rev. Roumaine Math. Pures Appl 36(7-8):369~376
X. Fu / 2014 / A characterization of Fuchsian groups in SU(n, 1) / Complex Var. Elliptic Equ 59(5):723~731
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