Cayley-Dickson Construction

Artur Korniłowicz

doi:10.2478/v10037-012-0034-9

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Cayley-Dickson Construction

Formalized Mathematics

Volume 20 (2012): Issue 4 (December 2012)

By: Artur Korniłowicz

Open Access

|Feb 2013

Abstract

Cayley-Dickson construction produces a sequence of normed algebras over real numbers. Its consequent applications result in complex numbers, quaternions, octonions, etc. In this paper we formalize the construction and prove its basic properties.

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Articles in this issue

DOI: https://doi.org/10.2478/v10037-012-0034-9 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 281 - 290

Published on: Feb 2, 2013

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

Volume 20 (2012): Issue 4 (December 2012)