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Reflections, Rotations, and Pythagorean Numbers

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Abstract.

In this article, simple reflections, rotations and the Cartan theorem are handled using Clifford algebras. With this tool we provide a constructive proof of the Cartan theorem and the relationship with Pythagorean numbers is discussed.

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Authors and Affiliations

  1. Programa de Desarrollo Profesional en Automatización, Universidad Autónoma Metropolitana, Azcapotzalco San Pablo 180, Colonia Reynosa-Tamaulipas, 02200, D. F. México, México

    G. Aragón-González

  2. Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Apartado Postal 1-1010, 76000, Querétaro, México

    J. L. Aragón

  3. Departamento de Matemáticas, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional Unidad Profesional Adolfo López Mateos, Edificio 9, 07300, D. F. México, México

    M. A. Rodríguez-Andrade

  4. Departamento de Matemáticas, Universidad Autónoma Metropolitana, Unidad Iztapalapa, Apartado Postal 55–534, 09340, D. F. México, México

    L. Verde-Star

Authors
  1. G. Aragón-González
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  2. J. L. Aragón
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  3. M. A. Rodríguez-Andrade
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  4. L. Verde-Star
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Corresponding author

Correspondence to G. Aragón-González.

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Aragón-González, G., Aragón, J.L., Rodríguez-Andrade, M.A. et al. Reflections, Rotations, and Pythagorean Numbers. AACA 19, 1–14 (2009). https://doi.org/10.1007/s00006-008-0129-0

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  • DOI: https://doi.org/10.1007/s00006-008-0129-0

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