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CONJUGACY CLASSIFICATION OF n-DIMENSIONAL MÖBIUS GROUP

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초록

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.

Abstract

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.

참고문헌 (14)

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  2. L. V. Ahlfors, "Differential geometry and complex analysis", pp.15~31 (1985), Springer
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  4. Wensheng Cao, "ON THE CLASSIFICATION OF FOUR-DIMENSIONAL MÖBIUS TRANSFORMATIONS", Proceedings of the Edinburgh Mathematical Society, 50(1), pp.49~62 (2007), Cambridge University Press (CUP)[DOI]
  5. C. Cao, "Conjugacy invariants of Mobius groups, in Quasiconformal mappings and analysis", pp.109~139 (1998), Springer
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  7. B. Foreman, "Conjugacy invariants of Sl(2,H)", Linear Algebra and its Applications, 381, pp.25~35 (2004), Elsevier BV[DOI]
  8. Xi Fu, "On the conjugacy of M\"{o}bius groups in infinite dimension", 대한수학회논문집, 31(1), pp.177~184 (2016), 대한수학회
  9. Krishnendu Gongopadhyay, "Algebraic characterization of the isometries of the hyperbolic 5-space", Geometriae Dedicata, 144(1), pp.157~170 (2009), Springer Science and Business Media LLC[DOI]
  10. 김영주, "GEOMETRIC CLASSIFICATION OF ISOMETRIES ACTING ON HYPERBOLIC 4-SPACE", 대한수학회지, 54(1), pp.303~317 (2017), 대한수학회
  11. John R. Parker, "Conjugacy Classification of Quaternionic Möbius Transformations", Computational Methods and Function Theory, 9(1), pp.13~25 (2008), Springer Science and Business Media LLC[DOI]
  12. Xiantao Wang, "Discreteness criteria for Möbius groups acting on $$\mathcal{O}\mathcal{L}_p $$", Israel Journal of Mathematics, 150(1), pp.357~368 (2005), Springer Science and Business Media LLC[DOI]
  13. Xiantao Wang, "Algebraic convergence theorems of n-dimensional Kleinian groups", Israel Journal of Mathematics, 162(1), pp.221~233 (2007), Springer Science and Business Media LLC[DOI]
  14. Z. Yu, "The conjugate classification and type criteria of Mobius transformations in higher dimensions", J. Fudan Univ. Nat. Sci, 35(4), pp.374~380 (1996)

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