Araştırma Makalesi
Yıl 2013,
Cilt: 10 Sayı: 1, - , 01.05.2013
Öz
In this paper the concept of outer product for R
4
is considered. By using this
outer product a new product on R
5
is introduced. R
5 with this product and usual addition
and scalar multiplication is an associative algebra. Via this algebra a new representation
for quaternions as a Lie group is presented. Moreover a representation for SU(2) is
deduced.
Anahtar Kelimeler
Kaynakça
- [1] R. Abraham, J. E. Marsden and T. Ratiu, Manifolds, Tensor Analysis, and Applications, Addison-Wesley, 1983.
- [2] A. Baker, Matrix Groups an Introduction to Lie Group Theory, Springer-Verlag, 2002.
- [3] W. Fulton and J. Harris, Representation Theory. A First Course, Springer-Verlag, 1991.
- [4] P. R. Girard, Quaternion, Clifford Algebras and Relativistic Physics, Birkhauser, 2007.
- [5] B. C. Hall, Lie Groups Lie Algebras, and Representation, Springer-Verlag, 2004.
- [6] J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry, Springer-Verlag, 1999.
- [7] D. Miliˇci´c, Lectures on Lie Groups, http://www.math.utah.edu/~milicic/Eprints/ lie.pdf, 2004.
- [8] M. R. Molaei and M.R. Farhangdost, Lie algebras of a class of top spaces, Balkan Journal of Geometry and Its Applications 14 (2009), 46–51.
- [9] O. Raifeartaigh, Group Structure of Gauge Theories, Cambridge University Press, 1986.
- [10] R. Penrose and W. Rindler, Spinors and Space-Time, Cambridge University Press, 1984.
Yıl 2013,
Cilt: 10 Sayı: 1, - , 01.05.2013
Öz
Kaynakça
- [1] R. Abraham, J. E. Marsden and T. Ratiu, Manifolds, Tensor Analysis, and Applications, Addison-Wesley, 1983.
- [2] A. Baker, Matrix Groups an Introduction to Lie Group Theory, Springer-Verlag, 2002.
- [3] W. Fulton and J. Harris, Representation Theory. A First Course, Springer-Verlag, 1991.
- [4] P. R. Girard, Quaternion, Clifford Algebras and Relativistic Physics, Birkhauser, 2007.
- [5] B. C. Hall, Lie Groups Lie Algebras, and Representation, Springer-Verlag, 2004.
- [6] J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry, Springer-Verlag, 1999.
- [7] D. Miliˇci´c, Lectures on Lie Groups, http://www.math.utah.edu/~milicic/Eprints/ lie.pdf, 2004.
- [8] M. R. Molaei and M.R. Farhangdost, Lie algebras of a class of top spaces, Balkan Journal of Geometry and Its Applications 14 (2009), 46–51.
- [9] O. Raifeartaigh, Group Structure of Gauge Theories, Cambridge University Press, 1986.
- [10] R. Penrose and W. Rindler, Spinors and Space-Time, Cambridge University Press, 1984.
Toplam 10 adet kaynakça vardır.
Ayrıntılar
| Konular | Mühendislik |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Mayıs 2013 |
| Yayımlandığı Sayı | Yıl 2013 Cilt: 10 Sayı: 1 |