A STUDY ON SEMI-QUATERNIONS ALGEBRA IN SEMI-EUCLIDEAN 4-SPACE
Abstract
The aim of this paper is to study the semi-quaternions, and togive some of their basic properties. We express De Moivre’s formula for semiquaternions and find roots of a semi-quaternion using this formula
Keywords
References
- Cho E., De-Moivre formula for quaternions, Appl. Math. Lett., Vol. 11, No.6 (1998)33-35.
- Dyachkova M., On Hopf bundle analogue for semiquaternion algebra, 10thInternational Conference DGA, Olomouc, Czech Republic, 2007.
- Kabadayi H., Yayli Y., De Moivre’s Formula for Dual Quaternions, Kuwait J. of Sci. & Tech., Vol. 38, No.1 (2011)15-23
- Ozdemir M., The roots of a split quaternion, Appl. Math. Lett. 22(2009) 258-263.
- Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands,1997.
- Ward J.P., Quaternions and Cayley algebra and applications, Kluwer Academic Publishers, Dordrecht, 1996.
- Whittlesey J., Whittlesey K., Some Geometrical Generalizations of Euler’s Formula, Int. J. Of math. Edu. in Sci. & Tech., 21(3) (1990) 461-468.
- Widdows D., Quaternion algebra geometry, Ph.D thesis, St Anne’s college, Oxford, 2000.
- Department of Mathematics, Islamic Azad University, Shabestar Branch, Shabestar, Iran.
- E-mail address: h mortazaasl@yahoo.com