Author/Authors
jafari, mehdi afagh higher education institute - department of mathematics, ايران
Title Of Article
On The Structure Of The Octonion Matrices
شماره ركورد
28344
Abstract
Octonions have applications in fields such as string theory, special relativity, and quantum logic. With the aid of the Hamilton operators, real octonions have been expressed in terms of 8×8 matrices. These matrices are being used to describe the rotation and determine a homothetic motions in 8- dimensional Euclidean space E8. In this paper, we study some algebraic properties of real octonions, and by using De Moivre s formula, we obtain any power of such matrices. Also, a relation between the powers of matrices of octonions is given. The De Moivre s formula implies that there are uncountably many matrices of the unit octonions A satisfying A^n = I8 for every integer n ≥ 3.
From Page
51
NaturalLanguageKeyword
De , Moiver’s formula , Euler’s formula , Real octonion , Hamilton Operator
JournalTitle
Erciyes University Journal Of The Institute Of Science and Technology
To Page
63
JournalTitle
Erciyes University Journal Of The Institute Of Science and Technology
Link To Document