An elementary construction of the geometric algebra

@article{Macdonald2002AnEC,
  title={An elementary construction of the geometric algebra},
  author={Alan Macdonald},
  journal={Advances in Applied Clifford Algebras},
  year={2002},
  volume={12},
  pages={1-6}
}
  • A. Macdonald
  • Published 1 June 2002
  • Mathematics
  • Advances in Applied Clifford Algebras
We give a simple, elementary, direct, and motivated construction of the geometric algebra overRn. 
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This article reviews Marcel Riesz’s lecture notes on Clifford Numbers and Spinors, 1958, and evaluates its effect on present research on Clifford algebras.
Other Constructions Emil Artin has given an elegant and simple elementary construction of GA(n) [1, p. 186]. Our construction is better motivated and, I think, somewhat simpler
  • Other Constructions Emil Artin has given an elegant and simple elementary construction of GA(n) [1, p. 186]. Our construction is better motivated and, I think, somewhat simpler