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Girard, P.R., Pujol, R., Clarysse, P. and Delachartre, P. (2023) Hyperquaternions and Physics. SciPost Physics Proceedings, 14, Article No. 030.
https://doi.org/10.21468/scipostphysproc.14.030

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.