Counterexamples in Clifford Algebras with Clical

Pertti Lounesto ()
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Pertti Lounesto: Helsinki University of Technology, Institute of Mathematics

A chapter in Clifford Algebras with Numeric and Symbolic Computations, 1996, pp 3-30 from Springer

Abstract: 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.

Keywords: Clifford algebra; spin groups; spinors; counter-examples (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-1-4615-8157-4_1

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