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A NON-ORTHOGONAL CAYLEY–DICKSON DOUBLING

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Publication:5470129
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DOI10.1142/S0219498806001697zbMath1138.17002OpenAlexW2154703208MaRDI QIDQ5470129

Susanne Pumplün

Publication date: 29 May 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498806001697


zbMATH Keywords

composition algebrasCoxeter latticeCayley-Dickson doubling


Mathematics Subject Classification ID

Alternative rings (17D05) Composition algebras (17A75)


Related Items (3)

The non-orthogonal Cayley–Dickson construction and the octonionic structure of the E8-lattice ⋮ A note on Moufang loops arising from octonion algebras over rings. ⋮ Wild Pfister forms over Henselian fields, \(K\)-theory, and conic division algebras



Cites Work

  • Nonassociative algebras with scalar involution
  • Integral Cayley numbers
  • Quaternion algebras over elliptic curves


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