Clifford algebras and geometric algebra

  title={Clifford algebras and geometric algebra},
  author={G. Aragon and Jos{\'e} Luis Arag{\'o}n and M. A. Rodŕıguez},
  journal={Advances in Applied Clifford Algebras},
The geometric algebra as defined by D. Hestenes is compared with a constructive definition of Clifford algebras. Both approaches are discussed and the equivalence between a finite geometric algebra and the universal Clifford algebra Rp, q is shown. Also an intermediate way to construct Clifford algebras is sketched. This attempt to conciliate two separated approaches may be useful taking into account the recognized importance of Clifford algebras in theoretical and applied physics. 

Geometry of complex data

  • K. J. Sangston
  • Mathematics
    IEEE Aerospace and Electronic Systems Magazine
  • 2016
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