Real Matrix Representations for the Complex Quaternions
Starting from known results, due to Y. Tian in , 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.
KeywordsQuaternion algebra complex Fibonacci quaternions matrix representation
Unable to display preview. Download preview PDF.
- 2.S. Halici, On complex Fibonacci Quaternions. Adv. in Appl. Clifford Algebras, doi: 10.1007/s00006-012-0337-5.
- 4.W.D.Smith, Quaternions, octonions, and now, 16–ons, and 2n–ons; New kinds of numbers. www.math.temple.edu/wds/homepage/nce2.ps, 2004.
- 5.Y. Tian, Matrix reprezentations of octonions and their applications. Adv. in Appl. Clifford Algebras 10 (1) (2000), 61–90.Google Scholar
- 6.Y. Tian, Matrix Theory over the Complex Quaternion Algebra. arXiv:math/0004005v1, 1 April 2000.Google Scholar