Eight-dimensional Octonion-like but Associative Normed Division Algebra

@article{Christian2018EightdimensionalOB,
  title={Eight-dimensional Octonion-like but Associative Normed Division Algebra},
  author={J. Christian},
  journal={arXiv: General Mathematics},
  year={2018}
}
  • J. Christian
  • Published 2018
  • Mathematics, Physics
  • arXiv: General Mathematics
  • We present an eight-dimensional even sub-algebra of the 2^4 = 16-dimensional associative Clifford algebra Cl(4,0) and show that its eight-dimensional elements denoted as X and Y respect the norm relation ||XY|| = ||X|| ||Y||, thus forming an octonion-like but associative normed division algebra. 
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