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On Hyperbolic Split Quaternions and Hyperbolic Split Quaternion Matrices

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Abstract

The purpose of this study is to investigate some properties of \(2 \times 2\) hyperbolic split quaternion matrices. To verify this, we use matrices corresponding to the basis of hyperbolic split quaternions. Moreover, we give \(4 \times 4\) hyperbolic matrix representation and \(8 \times 8\) real matrix representation of a hyperbolic split quaternion.

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Acknowledgements

The authors thanks the anonymous referee(s) for their helpful suggestions and comments.

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Correspondence to Gözde Özyurt.

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Communicated by Wolfgang Sprössig

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Özyurt, G., Alagöz, Y. On Hyperbolic Split Quaternions and Hyperbolic Split Quaternion Matrices. Adv. Appl. Clifford Algebras 28, 88 (2018). https://doi.org/10.1007/s00006-018-0907-2

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  • DOI: https://doi.org/10.1007/s00006-018-0907-2

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