On exponential of split quaternionic matrices

Melek Erdoğdu and Mustafa Özdemir

Applied Mathematics and Computation, 2017, vol. 315, issue C, 468-476

Abstract: The exponential of a matrix plays an important role in the theory of Lie groups. The main purpose of this paper is to examine matrix groups over the split quaternions and the exponential map from their Lie algebras into the groups. Since the set of split quaternions is a noncommutative algebra, the way of computing the exponential of a matrix over the split quaternions is more difficult than calculating the exponential of a matrix over the real or complex numbers. Therefore, we give a method of finding exponential of a split quaternion matrix by its complex adjoint matrix.

Keywords: Quaternion; Split quaternion; Quaternion matrix (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:315:y:2017:i:c:p:468-476

DOI: 10.1016/j.amc.2017.08.007

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