New Representation of Quaternions Lie Group and SU(2)

Authors : Ali DELBAZNASAB, Mohammad Reza Molaei

Pages : 0-0

View : 14 | Download : 10

Publication Date : 2013-05-01

Article Type : Research Paper

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 SUinsert ignore into journalissuearticles values(2); is deduced. 
Keywords : Orthogonal Lie group, outer product, representation