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Counterexamples in Clifford Algebras with Clical

In: Clifford Algebras with Numeric and Symbolic Computations

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  • Pertti Lounesto

    (Helsinki University of Technology, Institute of Mathematics)

Abstract

This article presents a collection of counter-examples to conjectures about Clifford algebras, spinors, spin groups and the exterior algebra. In research, counter-examples serve as indicators of a wrong way. They tell one where not to go in a new domain to be explored. The modern era is exceptional in the history of mathematics: for the first time we can use computers to test the validity of our conjectures. The counter-examples presented in this article have been mostly discovered with CLICAL, a computer program specifically designed for Clifford algebra calculations.

Suggested Citation

  • Pertti Lounesto, 1996. "Counterexamples in Clifford Algebras with Clical," Springer Books, in: Rafał Abłamowicz & Josep M. Parra & Pertti Lounesto (ed.), Clifford Algebras with Numeric and Symbolic Computations, pages 3-30, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-8157-4_1
    DOI: 10.1007/978-1-4615-8157-4_1
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