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Extendable orthogonal sets of integral vectors

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Publication:2079527
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DOI10.1007/S40687-022-00357-9OpenAlexW4296683170MaRDI QIDQ2079527

Fernando Chamizo, Jorge Jiménez-Urroz

Publication date: 30 September 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10635


zbMATH Keywords

sums of squaresCayley numbersClifford algebrasquaternionsorthogonality


Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic and bilinear Diophantine equations (11D09) Representation problems (11D85)





Cites Work

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  • A 3-fold vector product in \(R^ 8\)
  • Eigenvalues of rank-one updated matrices with some applications
  • Discrete quantum computation and Lagrange's four-square theorem
  • The Diophantine Equation x 2 + y 2 + z 2 = m 2
  • Cross Products of Vectors in Higher Dimensional Euclidean Spaces
  • The octonions
  • Quantum Theory, Groups and Representations
  • Naive Lie Theory




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