Matrix Representation on Quaternion Algebra
Gülay Koru Yücekaya
Abstract
Gülay Koru Yücekaya
Abstract
The quaternions, denoted by H, were first defined by W.R. Hamilton in 1843 as an extension of the four dimensions complex numbers. Hamilton has included a new multiplication process to vector algebra by defining quaternions for two vectors where the division process is available. In this paper, basic operations on H/Zp quaternion and the matrix form which belong to H/Zp quaternion algebra are given
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The quaternions, denoted by H, were first defined by W.R. Hamilton in 1843 as an extension of the four dimensions complex numbers. Hamilton has included a new multiplication process to vector algebra by defining quaternions for two vectors where the division process is available. In this paper, basic operations on H/Zp quaternion and the matrix form which belong to H/Zp quaternion algebra are given
Key concepts: Quaternion, Quaternion algebra, Algebra over a field, Mathematics, Dual quaternion, Matrix representation, Multiplication (music), Extension (predicate logic)