Abstract
The present paper scrutinizes how the sign of the product of two elements in the basis for the Clifford algebra of dimension 2n can be computed by the Walsh functions of degree less than 2n. In the multiplication formula the basis elements are labelled by the binary n-tuples, which form an abelian group Ω which in turn gives rise to the maximal grading of the Clifford algebra. The group of the binary n-tuples is also employed to the Cayley-Dickson process.
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© 1986 D. Reidel Publishing Company
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Hagmark, PE., Lounesto, P. (1986). Walsh Functions, Clifford Algebras and Cayley-Dickson Process. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_45
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DOI: https://doi.org/10.1007/978-94-009-4728-3_45
Publisher Name: Springer, Dordrecht
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