New Representation of Quaternions Lie Group and SU(2)

Year 2013, Volume: 10 Issue: 1, - , 01.05.2013

Ali Delbaznasab Mohammad Reza Molaei

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

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