New Representation of Quaternions Lie Group and SU(2)

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. 

Keywords

• Orthogonal Lie group,outer product,representation

References

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