Clifford parallelisms defined by octonions

DOI10.1007/s00605-017-1115-1zbMath1400.51002OpenAlexW2765150187MaRDI QIDQ1795160

Bernhild Stroppel, Norbert Knarr, Andrea Blunck, Markus Johannes Stroppel

Publication date: 16 October 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1115-1

zbMATH Keywords

trialityprojective spaceClifford parallelismcomposition algebraquaternionoctonion

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) General theory of linear incidence geometry and projective geometries (51A05) Linear incidence geometric structures with parallelism (51A15) Composition algebras (17A75) Kinematic spaces (51J15) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (4)

Transitive groups of similitudes generated by octonions ⋮ Automorphisms of a Clifford-like parallelism ⋮ Clifford-like parallelisms ⋮ Characterising Clifford parallelisms among Clifford-like parallelisms

Cites Work

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• Heisenberg groups over composition algebras
• Generalized Clifford parallelisms
• Fibered indidence loops and kinematic loops
• On quaternion skew fields
• Bruck's vision of regular spreads or what is the use of a Baer superspace?
• Translation planes. Foundations and construction principles
• Clifford parallelism: old and new definitions, and their use
• Polarities and planar collineations of Moufang planes
• Variations on a theme: Clifford's parallelism in elliptic space
• Baer involutions and polarities in Moufang planes of characteristic two
• A note on Clifford parallelisms in characteristic two
• Octonion planes defined by quadratic Jordan algebras
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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