Year 2015,
Volume: 10 Issue: 1, 1 - 13, 27.01.2015
Abstract
By Hamilton operators, generalized quaternions have been expressed in terms of 4×4 matrices. In this paper, geometric applications of these matrices in generalized 4-space Eαβ^4 are given. We also show that the set of these matrices with the group operation of matrix multiplication is Lie group of 6-dimension.
References
- Jafari M., and Yayli, Y., (2013). Rotation in four dimensions via generalized Hamilton operators, Kuwait journal of science, Volume:40, Number:1, pp:45-56.
- Jafari, M., and Yayli, Y., (2010). Homothetic motions at International Journal Contemporary of Mathematics Sciences. Volume:5, Number:47, pp:2319-2326.
- Mamagani, A.B., and Jafari, M., (2013). Some notes on matrix of generalized quaternion, Volume:7, Number:14, pp: 1086-1093.
- Meinrenken, E., (2010). Lie groups and Lie algebras, Lecture Notes, University of Toronto.
- Pottman, H., and Wallner, J., (2000). Computational line geometry. Springer-Verlag, New York.
- Unger,T., and Markin, N., (2008). Quadratic forms and space-time block codes from generalized quaternion and biquaternion algebras. IEEE transactions on information theory, Volume:57, Number:9, pp: 6148-6156.
- Ward, J.P., (1997). Quaternions and Cayley numbers algebra and applications, Kluwer Academic Publishers, London.
Year 2015,
Volume: 10 Issue: 1, 1 - 13, 27.01.2015
Abstract
Hamilton operatorleri ile bir gelişmiş kuaterniyon 4×4 matrisleri ile gösterilmiştir. Bu makalede matrislerin uygulamaları gelişmiş uzay’da verilmiştir. Ayrıca, bu matrislerin kümesi matris çarpım ile altı boyutlu bir Lie grubu oluşturulmuştur
Keywords
References
- Jafari M., and Yayli, Y., (2013). Rotation in four dimensions via generalized Hamilton operators, Kuwait journal of science, Volume:40, Number:1, pp:45-56.
- Jafari, M., and Yayli, Y., (2010). Homothetic motions at International Journal Contemporary of Mathematics Sciences. Volume:5, Number:47, pp:2319-2326.
- Mamagani, A.B., and Jafari, M., (2013). Some notes on matrix of generalized quaternion, Volume:7, Number:14, pp: 1086-1093.
- Meinrenken, E., (2010). Lie groups and Lie algebras, Lecture Notes, University of Toronto.
- Pottman, H., and Wallner, J., (2000). Computational line geometry. Springer-Verlag, New York.
- Unger,T., and Markin, N., (2008). Quadratic forms and space-time block codes from generalized quaternion and biquaternion algebras. IEEE transactions on information theory, Volume:57, Number:9, pp: 6148-6156.
- Ward, J.P., (1997). Quaternions and Cayley numbers algebra and applications, Kluwer Academic Publishers, London.
There are 7 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | January 27, 2015 |
| Published in Issue | Year 2015 Volume: 10 Issue: 1 |