Homotopy classification of bilinear maps related to octonion polynomial multiplications

DOI10.1016/j.laa.2010.01.002zbMath1206.55017OpenAlexW2094014515WikidataQ114152399 ScholiaQ114152399MaRDI QIDQ968985

Hugo Rodríguez-Ordóñez

Publication date: 11 May 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.002

zbMATH Keywords

octonionsstable homotopy groups of spheresnonsingular bilinear mapsHopf constructionCayley-Dickson algebras

Mathematics Subject Classification ID

Other nonassociative rings and algebras (17D99) Stable homotopy of spheres (55Q45) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items

Classifying linear operators over the octonions

Cites Work

• The zero divisors of the Cayley-Dickson algebras over the real numbers
• A note on the fundamental theorem of algebra for the octonions
• Construction of nonsingular bilinear maps
• Quadratic maps and stable homotopy groups of spheres
• Immersing projective spaces
• ON BILINEAR AND SKEW-LINEAR MAPS THAT ARE NONSINGULAR
• The “fundamental theorem of algebra” for quaternions
• Vector fields on spheres
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