논문KCI 등재
On the conjugacy of M\"{o}bius groups in infinite dimension
대한수학회 (The Korean Mathematical Society)|2016.01|대한수학회논문집 (Communications of the KMS)|제31권 제1호|pp. 177-184
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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.
Abstract
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.
참고문헌 (13)
- L. V. Ahlfors, "On the fixed points of Mobius transformations in Rn", Ann. Acad. Sci. Fenn. Ser. A I Math, 10, pp.15~27 (1985)
- B. N. Apanasov, "The Geometry of Discrete Groups and Manifolds" (1991), Nauka
- M. Chen, "The extension of Mobius groups", Complex Var. Theory Appl, 47(3), pp.225~228 (2002)
- M. Frunza, "Mobius transformations in infinite dimension", Rev. Roumaine Math. Pures Appl, 36(7-8), pp.369~376 (1991)
- X. Fu, "A characterization of Fuchsian groups in SU(n, 1)", Complex Var. Elliptic Equ, 59(5), pp.723~731 (2014)
- J. Kim, "Quaternionic hyperbolic Fuchsian groups", Linear Algebra Appl, 438(9), pp.3610~3617 (2013)
- L. Li, "Ball-preserving Mobius transformations in infinite dimension", Complex Var. Elliptic Equ, 54(7), pp.697~703 (2009)
- L. Li, "A generalization of Jørgensen’s inequality to infinite dimension", New York J. Math, 17, pp.41~49 (2011)
- L. Li, "An inequality on parabolic Mobius groups in infinite dimension and its application", Acta Math. Sci. Ser. A Chin. Ed, 32(2), pp.349~355 (2012)
- L. Li, "Discreteness of Mobius groups in infinite dimension", Complex Var. Elliptic Equ, 58(1), pp.109~112 (2013)
- B. Maskit, "Kleinian Groups" (1987), Springer-Verlag
- X. Wang, "Generating systems of subgroups in PSL(2, Γn)", Proc. Edinb. Math. Soc. (2), 45(1), pp.49~58 (2002)
- P. Waterman, "Mobius transformations in several dimensions", Adv. Math, 101(1), pp.87~113 (1993)
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