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Split Semi-quaternions Algebra in Semi-Euclidean 4-Space

Year 2015, Volume: 36 Issue: 1, 70 - 77, 01.03.2015

Mehdi Jafarı

Abstract

The aim of this paper is to study the split semi-quaternions,

Hss;and to give some of their algebra properties. We show that the set of unit split semi-quaternions is a subgroup ofHss: Furthermore, with the aid of De Moivre.s formula, any powers of these quaternions can be obtained.

 

 

Keywords

De Moivre’s formula Split semi-quaternion Euler’s formula

References

  • Brand L.. The roots of a Quaternion, American Mathematical Monthly 49-8(1942) 519-520.
  • 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.
  • Niven I. The roots of a quaternion, American Mathematical Monthly 49-6(1942) 386-388.
  • 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.

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

Year 2015, Volume: 36 Issue: 1, 70 - 77, 01.03.2015

Mehdi Jafarı

Abstract

Abstract.
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 unitsplit semi-quaternions is a subgroup of
Hss:Furthermore, with the aid of De
Moivre's formula, any powers of these quaternions can be obtaine

Keywords

-

References

  • Brand L.. The roots of a Quaternion, American Mathematical Monthly 49-8(1942) 519-520.
  • 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.
  • Niven I. The roots of a quaternion, American Mathematical Monthly 49-6(1942) 386-388.
  • 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.
There are 5 citations in total.

Details

Primary Language English
Journal Section Editorial
Authors

Mehdi Jafarı

Publication Date March 1, 2015
Published in Issue Year 2015 Volume: 36 Issue: 1

Cite

APA Jafarı, M. (2015). Split Semi-quaternions Algebra in Semi-Euclidean 4-Space. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 36(1), 70-77.
AMA Jafarı M. Split Semi-quaternions Algebra in Semi-Euclidean 4-Space. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. March 2015;36(1):70-77.
Chicago Jafarı, Mehdi. “Split Semi-Quaternions Algebra in Semi-Euclidean 4-Space”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36, no. 1 (March 2015): 70-77.
EndNote Jafarı M (March 1, 2015) Split Semi-quaternions Algebra in Semi-Euclidean 4-Space. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36 1 70–77.
IEEE M. Jafarı, “Split Semi-quaternions Algebra in Semi-Euclidean 4-Space”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 1, pp. 70–77, 2015.
ISNAD Jafarı, Mehdi. “Split Semi-Quaternions Algebra in Semi-Euclidean 4-Space”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36/1 (March 2015), 70-77.
JAMA Jafarı M. Split Semi-quaternions Algebra in Semi-Euclidean 4-Space. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36:70–77.
MLA Jafarı, Mehdi. “Split Semi-Quaternions Algebra in Semi-Euclidean 4-Space”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 1, 2015, pp. 70-77.
Vancouver Jafarı M. Split Semi-quaternions Algebra in Semi-Euclidean 4-Space. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36(1):70-7.