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The triple cross product in \(\mathbb{R}^7\)

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Publication:1373691
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DOI10.1016/S0034-4877(97)89756-XzbMath0901.17003OpenAlexW1989131109MaRDI QIDQ1373691

Peter E. Crouch, Fátima Silva Leite

Publication date: 7 January 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)89756-x


zbMATH Keywords

matrix representationcross productexceptional Lie algebrassimple compact Lie algebra \({\mathcal G}_2\)


Mathematics Subject Classification ID

Exceptional (super)algebras (17B25)


Related Items (3)

Best pair of two skew lines over the octonions ⋮ A constructive method for solving the equation \(X a = b\) in \(\mathbb{R}^n\): a generalization of division in \(\mathbb{R}^n\) ⋮ Matrix representation of a cross product and related curl-based differential operators in all space dimensions




Cites Work

  • Unnamed Item
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  • Malcev Algebras
  • Quark structure and octonions
  • The geometry of hypercomplex matrices
  • Introduction to Lie Algebras and Representation Theory




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