Cross Products of Vectors in Higher Dimensional Euclidean Spaces

DOI10.2307/2323537zbMath0532.55011OpenAlexW2040355963WikidataQ29393927 ScholiaQ29393927MaRDI QIDQ3314572

William S. Massey

Publication date: 1983

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1f6bff1e992f60eb87b35c3ceed04272fb5cc298

zbMATH Keywords

vector fields on spherescross product of vectors in Euclidean n-spaceH-space structures on spheres

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Multilinear algebra, tensor calculus (15A69) Topological (K)-theory (55N15)

Related Items (20)

Unnamed Item ⋮ Closed forms and multi-moment maps ⋮ Algebras with a bilinear form, and idempotent endomorphisms ⋮ Unnamed Item ⋮ Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3 ⋮ Unnamed Item ⋮ Generalizations of the quaternion algebra and Lie algebras ⋮ Octonions and triality ⋮ Notes on a cross product of vectors ⋮ Unit octonions and some geometrical interpretations ⋮ The unified theory of \(n\)-dimensional complex and hypercomplex analytic signals ⋮ On a vector-product in the separable, infinite-dimensional real Hilbert space ⋮ A constructive method for solving the equation \(X a = b\) in \(\mathbb{R}^n\): a generalization of division in \(\mathbb{R}^n\) ⋮ Uncertainty characterization of the orthogonal Procrustes problem with arbitrary covariance matrices ⋮ Themes in the evolution of number systems ⋮ A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications ⋮ Multi-moment maps ⋮ Extendable orthogonal sets of integral vectors ⋮ On Derivations of the Ternary Malcev Algebra M ₈ ⋮ Matrix representation of a cross product and related curl-based differential operators in all space dimensions

This page was built for publication: Cross Products of Vectors in Higher Dimensional Euclidean Spaces