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Real Matrix Representations for the Complex Quaternions

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Abstract

Starting from known results, due to Y. Tian in [5], referring to the real matrix representations of the real quaternions, in this paper we will investigate the left and right real matrix representations for the complex quaternions and we will give some examples in the special case of the complex Fibonacci quaternions.

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References

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527, Constanta, Romania

    Cristina Flaut

  2. Department of Complex Analysis and Potential Theory, Institute of Mathematics of the National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka st, 01601, Kiev-4, Ukraine

    Vitalii Shpakivskyi

Authors
  1. Cristina Flaut
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  2. Vitalii Shpakivskyi
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Correspondence to Cristina Flaut.

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To Ioana G

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Flaut, C., Shpakivskyi, V. Real Matrix Representations for the Complex Quaternions. Adv. Appl. Clifford Algebras 23, 657–671 (2013). https://doi.org/10.1007/s00006-013-0387-3

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  • DOI: https://doi.org/10.1007/s00006-013-0387-3

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