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Clifford Algebras and their Applications in Mathematical Physics pp 39–55Cite as

Clifford algebra calculations with a microcomputer

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 47))

Abstract

This paper presents a computer program that has been developed specifically for computations with Clifford algebras and spinors. The name of the program is CLICAL, which stands for Clifford algebra calculations. CLICAL can be used on IBM personal computers. CLICAL is a research tool for specialists in Clifford algebras. No prior knowledge of computer programming is assumed by users of CLICAL. CLICAL computes with Clifford algebras, Grassmann algebras and Cayley algebra, that is, with spinors, bivectors and octonions. CLICAL can be used to perform rotations, Lorentz transformations and Möbius transformations. CLICAL allows computation with complex Clifford algebras and pure spinors. CLICAL is a calculatortype computer program that can be used to take exponentials, logarithms and square roots of hypercomplex numbers.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Helsinki University of Technology, SF-02150 Espoo, Finland, UK

    Pertti Lounesto

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  1. Pertti Lounesto
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Applied Algebra, Université Montpellier II, Montpellier, France

    A. Micali

  2. Unité de Formation et de Recherche de Mathématiques Informatique Mécanique, Université de Provence, Marseille, France

    R. Boudet

  3. Laboratoire de Mathématiques Pures, Fourier Institute, Université de Grenoble I, Saint-Martin-d’Hères, France

    J. Helmstetter

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© 1992 Springer Science+Business Media Dordrecht

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Lounesto, P. (1992). Clifford algebra calculations with a microcomputer. In: Micali, A., Boudet, R., Helmstetter, J. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8090-8_5

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  • DOI: https://doi.org/10.1007/978-94-015-8090-8_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4130-2

  • Online ISBN: 978-94-015-8090-8

  • eBook Packages: Springer Book Archive

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