Buradasınız

SPLIT SEMI-QUATERNIONS ALGEBRA IN SEMI-EUCLIDEAN 4-SPACE

Journal Name:

Publication Year:

Author Name
Abstract (2. Language): 
The aim of this paper is to study the split semi-quaternions, Hss; and to give some of their algebraic properties. We show that the set of unit split semi-quaternions is a subgroup of H ss: Furthermore, with the aid of De Moivre's formula, any powers of these quaternions can be obtained.
70
77

REFERENCES

References: 

[1] Brand L.. The roots of a Quaternion, American Mathematical Monthly 49-8(1942) 519-520.
[2] Mortezaasl H., Jafari M., A study on Semi-quaternions Algebra in Semi-Euclidean 4-space,
Mathematical Science and Applications E-Notes, Vol. 1/2,(2013) 20-27.
[3] Niven I. The roots of a quaternion, American Mathematical Monthly 49-6(1942) 386-388.
[4] Ozdemir M., The roots of a split quaternion, Appl. Math. Lett. 22(2009) 258-263.
[5] Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands,1997.

Thank you for copying data from http://www.arastirmax.com