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Conjugacy invariants of quaternion matrices

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

Abstract

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

참고문헌 (8)

  1. H. Aslaksen, "Quaternionic determinants", Math. Intelligencer, 18(3), pp.57~65 (1996)[DOI]
  2. B. Foreman, "Conjugacy invariants of Sl(2, H)", Linear Algebra Appl., 381, pp.25~35 (2004)[DOI]
  3. J. Kim, "Quaternionic hyperbolic Fuchsian groups", Linear Algebra Appl, 438(9), pp.3610~3617 (2013)[DOI]
  4. S. Kim, "Complex and quaternionic hyperbolic Kleinian groups with real trace fields", J. Lond. Math. Soc. (2), 93(1), pp.101~122 (2016)[DOI]
  5. S. Kim, "A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields", Algebr. Geom. Topol, 18(2), pp.957~974 (2018)[DOI]
  6. J. P. Morais, "Real Quaternionic Calculus Handbook" (2014), BirkhSpr¨auser
  7. J. R. Parker, "Conjugacy classification of quaternionic M¨obius transformations", Comput. Meth. Funct. Th, 9(1), pp.13~25 (2009)
  8. F. Zhang, "Quaternions and matrices of quaternions", Linear Algebra Appl, 251, pp.21~57 (1997)[DOI]

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