Real matrix representations for the complex quaternions
Cristina Flaut, Vitalii Shpakivskyi
TL;DR
This paper explores real matrix representations of complex quaternions, extending known quaternion representations to complex cases and providing examples with complex Fibonacci quaternions.
Contribution
It introduces left and right real matrix representations for complex quaternions, building on previous work on real quaternions, and applies these to complex Fibonacci quaternions.
Findings
Derived new matrix representations for complex quaternions
Provided examples with complex Fibonacci quaternions
Extended known quaternion representation results
Abstract
Starting from known results, due to Y. Tian in [Ti; 00], referring to the real matrix representations of the real quaternions, in this paper we will investigate the left and right real matrix representations for the complex quaternions and we give some examples in the special case of the complex Fibonacci quaternions.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Algebraic and Geometric Analysis · Mathematics and Applications