Dergiler / Cankaya University Journal of Science and Engineering / 2013 / Cilt: 10 - Sayı: 1
New Representation of Quaternions Lie Group and SU(2)
- Sayfa
- 1–1
- DOI
- —
Abstract
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.