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Clifford algebras and Euclid's parametrization of Pythagorean triples

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Publication:871657
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DOI10.1007/s00006-006-0019-2zbMath1116.15024arXiv1201.4418OpenAlexW3100676144WikidataQ114232405 ScholiaQ114232405MaRDI QIDQ871657

Jerzy Kocik

Publication date: 20 March 2007

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4418


zbMATH Keywords

Pythagorean triplesMinkowski spaceLorentz groupApollonian gasketunimodular groupClifford algebra, spinorsEuclid's parametrizationHall matricespseudo-quaternionsPythagorean quadruples


Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure and representation of the Lorentz group (22E43) Clifford algebras, spinors (15A66)


Related Items (7)

Surfaces containing two circles through each point ⋮ Multifractal vector fields and stochastic Clifford algebra ⋮ On a Diophantine equation that generates all integral Apollonian gaskets ⋮ Octonions as Clifford-like algebras ⋮ Pythagorean vectors and Clifford numbers ⋮ Lens sequences ⋮ Krawtchouk matrices, Feynman path integral and the split quaternions




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