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VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY

Yıl 2018, Cilt: 67 Sayı: 1, 161 - 167, 01.02.2018

Adnan Karataş Serpil Halıcı

https://doi.org/10.1501/Commua1_0000000839
Cited By: 1

Öz

In this paper we investigate octonions and their special vectormatrix representation. We give some geometrical definitions and propertiesrelated with them. Furthermore, we use the vector matrix representation toshow its advantageous sides

Anahtar Kelimeler

Geometry octonion algebra

Kaynakça

  • Gunaydın, Murat; Gursey, Feza. Quark structure and octonions. Journal of Mathematical Physics, 14.11, (1973): 1651-1667.
  • Zorn, Max. Alternativkörper und quadratische Systeme. In: Abhandlungen aus dem Math- ematischen Seminar der Universität Hamburg. Springer Berlin/Heidelberg, (1933): 395-402.
  • Baez, John. The octonions. Bulletin of the American Mathematical Society 39.2 (2002): 145- 205.
  • Schafer, Richard Donald. An introduction to nonassociative algebras. Vol. 22. Courier Cor- poration, 1966.
  • Ward, Joseph Patrick.Quaternions and Cayley numbers: Algebra and applications. Springer Science and Business Media, 2012.
  • Gursey, F. Tze, C. H., On the role of division, Jordan and related algebras in particle physics World Scienti…c, (1996).
  • Conway, John H.; Smith, Derek A. On quaternions and octonions. AMC, 2003, 10: 12.
  • Okubo, Susumo. Introduction to octonion and other non-associative algebras in physics. Cambridge University Press, 1995.
  • Smith, Jonathan DH. An introduction to quasigroups and their representations. CRC Press, 2006.

Yıl 2018, Cilt: 67 Sayı: 1, 161 - 167, 01.02.2018

Adnan Karataş Serpil Halıcı

https://doi.org/10.1501/Commua1_0000000839
Cited By: 1

Öz

Kaynakça

  • Gunaydın, Murat; Gursey, Feza. Quark structure and octonions. Journal of Mathematical Physics, 14.11, (1973): 1651-1667.
  • Zorn, Max. Alternativkörper und quadratische Systeme. In: Abhandlungen aus dem Math- ematischen Seminar der Universität Hamburg. Springer Berlin/Heidelberg, (1933): 395-402.
  • Baez, John. The octonions. Bulletin of the American Mathematical Society 39.2 (2002): 145- 205.
  • Schafer, Richard Donald. An introduction to nonassociative algebras. Vol. 22. Courier Cor- poration, 1966.
  • Ward, Joseph Patrick.Quaternions and Cayley numbers: Algebra and applications. Springer Science and Business Media, 2012.
  • Gursey, F. Tze, C. H., On the role of division, Jordan and related algebras in particle physics World Scienti…c, (1996).
  • Conway, John H.; Smith, Derek A. On quaternions and octonions. AMC, 2003, 10: 12.
  • Okubo, Susumo. Introduction to octonion and other non-associative algebras in physics. Cambridge University Press, 1995.
  • Smith, Jonathan DH. An introduction to quasigroups and their representations. CRC Press, 2006.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Adnan Karataş Bu kişi benim

Serpil Halıcı Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 67 Sayı: 1

Kaynak Göster

APA Karataş, A., & Halıcı, S. (2018). VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 161-167. https://doi.org/10.1501/Commua1_0000000839
AMA Karataş A, Halıcı S. VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2018;67(1):161-167. doi:10.1501/Commua1_0000000839
Chicago Karataş, Adnan, ve Serpil Halıcı. “VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, sy. 1 (Şubat 2018): 161-67. https://doi.org/10.1501/Commua1_0000000839.
EndNote Karataş A, Halıcı S (01 Şubat 2018) VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 161–167.
IEEE A. Karataş ve S. Halıcı, “VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 67, sy. 1, ss. 161–167, 2018, doi: 10.1501/Commua1_0000000839.
ISNAD Karataş, Adnan - Halıcı, Serpil. “VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (Şubat 2018), 161-167. https://doi.org/10.1501/Commua1_0000000839.
JAMA Karataş A, Halıcı S. VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:161–167.
MLA Karataş, Adnan ve Serpil Halıcı. “VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 67, sy. 1, 2018, ss. 161-7, doi:10.1501/Commua1_0000000839.
Vancouver Karataş A, Halıcı S. VECTOR MATRIX REPRESENTATION OF OCTONIONS AND THEIR GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):161-7.

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