2016DergiPark (Istanbul University)Requires access

Matrix Representation on Quaternion Algebra

Gülay Koru Yücekaya

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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

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What this paper is about

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

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Available 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

Key concepts: Quaternion, Quaternion algebra, Algebra over a field, Mathematics, Dual quaternion, Matrix representation, Multiplication (music), Extension (predicate logic)

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