### Abstract

A special quaternion representation is constructed for a pair of relativistic vectors and skew-symmetric tensors on the basis of the group theory of Lorentz transformations. The construction has considerable advantages over the conventional vector-tensor description. It is pointed out that pairs of Minkowski vectors as well as certain scalars and skew-symmetric tensors can also be interpreted as simple components of more complex physical quantities, each of them expressed by a single quaternion. As an example a concise relativistic quaternion formulation of Maxwell's electrodynamics is presented. The relativistic covariance can be maintained even for the existence of magnetic monopoles.

Original language | English |
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Article number | 013 |

Pages (from-to) | 3245-3254 |

Number of pages | 10 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 24 |

Issue number | 14 |

DOIs | |

Publication status | Published - Dec 1 1991 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

*Journal of Physics A: Mathematical and General*,

*24*(14), 3245-3254. [013]. https://doi.org/10.1088/0305-4470/24/14/013