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On the Heights of Quaternionic Vectors

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Abstract

In this paper, we introduce a new numerical character, namely the height, for a quaternionic vector. According to this new concept (height), we give a complete classification of quaternionic vectors and enumerate all possible row echelon forms of the associated matrices for each type of the quaternionic vectors. By observing a link which the height has with the system of Cartesian frames, we give the character descriptions for several types of the systems of Cartesian frames.

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Authors and Affiliations

  1. Department of Mathematics and Systems Science, National University of Defense Technology, 410073, Changsha, P.R. China

    Bu-Liao Wang & Liang-Gui Feng

Authors
  1. Bu-Liao Wang
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  2. Liang-Gui Feng
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Corresponding author

Correspondence to Bu-Liao Wang.

Additional information

Supported by NUDT and HNSF of China (Grant 11JJ7002).

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Wang, BL., Feng, LG. On the Heights of Quaternionic Vectors. Adv. Appl. Clifford Algebras 23, 253–267 (2013). https://doi.org/10.1007/s00006-012-0343-7

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  • DOI: https://doi.org/10.1007/s00006-012-0343-7

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