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Girard, P.R., Clarysse, P., Pujol, R., Goutte, R. and Delachartre, P. (2019) Hyperquaternions: An Efficient Mathematical Formalism for Geometry. In: Nielsen, F. and Barbaresco, F., Eds., Geometric Science of Information, Springer, 116-125.
https://doi.org/10.1007/978-3-030-26980-7_13

has been cited by the following article:

• TITLE: Split-Tetraquaternion Algebra and Applications

  AUTHORS: Grégoire Lutanda Panga

  KEYWORDS: Tetraquaternion Algebra, Split-Tetraquaternion Algebra, Split Quaternion Algebra, Clifford Algebra

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.7, July 31, 2024

  ABSTRACT: In this paper, from the spacetime algebra associated with the Minkowski space ℝ 3,1 by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion algebra which incorporates the Pauli algebra, the split-biquaternion algebra and the split-quaternion algebra, we relate these algebras to Clifford algebras and we show the emergence of the stabilized Poincaré-Heisenberg algebra from the split-tetraquaternion algebra. We list without going into details some of their applications in Physics and in Born geometry.