New Representation of Quaternions Lie Group and SU(2)

Autor: DELBAZNASAB, Ali, Molaei, Mohammad Reza
Rok vydání: 2013
Předmět:
Zdroj: Volume: 10, Issue: 1
Cankaya University Journal of Science and Engineering
ISSN: 2564-7954
Popis: In this paper the concept of outer product for R4is considered. By using thisouter product a new product on R5is introduced. R5 with this product and usual additionand scalar multiplication is an associative algebra. Via this algebra a new representationfor quaternions as a Lie group is presented. Moreover a representation for SU(2) isdeduced. 
Databáze: OpenAIRE