대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권4호
  • /
  • Pages.1319-1327
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  • 2020
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CONJUGACY INVARIANTS OF QUATERNION MATRICES

  • Kim, Joonhyung (Department of Mathematics Education Chungnam National University) ;
  • Luo, Qianghua (School of Mathematics Hunan University)
  • 투고 : 2020.03.10
  • 심사 : 2020.06.26
  • 발행 : 2020.10.31
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초록

In this paper, we find new conjugacy invariants of Sl(3, ℍ). This result is a generalization of Foreman's result for Sl(2, ℍ).

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참고문헌

  1. H. Aslaksen, Quaternionic determinants, Math. Intelligencer 18 (1996), no. 3, 57-65. https://doi.org/10.1007/BF03024312
  2. B. Foreman, Conjugacy invariants of Sl(2, H), Linear Algebra Appl. 381 (2004), 25-35. https://doi.org/10.1016/j.laa.2003.11.002
  3. J. Kim, Quaternionic hyperbolic Fuchsian groups, Linear Algebra Appl. 438 (2013), no. 9, 3610-3617. https://doi.org/10.1016/j.laa.2013.02.001
  4. S. Kim and J. Kim, Complex and quaternionic hyperbolic Kleinian groups with real trace fields, J. Lond. Math. Soc. (2) 93 (2016), no. 1, 101-122. https://doi.org/10.1112/jlms/jdv063
  5. S. Kim and J. Kim, A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields, Algebr. Geom. Topol. 18 (2018), no. 2, 957-974. https://doi.org/10.2140/agt.2018.18.957
  6. J. P. Morais, S. Georgiev, and W. Sprosig, Real Quaternionic Calculus Handbook, BirkhSprauser, Basel, 2014.
  7. J. R. Parker and I. Short, Conjugacy classification of quaternionic Mobius transformations, Comput. Meth. Funct. Th. 9 (2009), no. 1, 13-25. https://doi.org/10.1007/BF03321711
  8. F. Zhang, Quaternions and matrices of quaternions, Linear Algebra Appl. 251 (1997), 21-57. https://doi.org/10.1016/0024-3795(95)00543-9