Characteristic of Quaternion Algebra Over Fields

Quaternion is an extension of the complex number system. are discovered by formulating 4 points in 4-dimensional vector space using cross product between two standard vectors. algebra over a field with bases and elements members field. Each element quaternion has inverse, despite fact that ring not commutative. Based on this, purpose this study to obtain characteristics split determine how it interacts central simple algebra. The research method used paper literature algebra, results establish equivalence as well theorem relating conclusion obtained from five different dimensions less than equal four.