Geometric characterisation of subvarieties of \(\mathcal{E}_6(\mathbb{K})\) related to the ternions and sextonions

DOI10.1515/advgeom-2022-0005OpenAlexW4224298196MaRDI QIDQ2684907

Anneleen De Schepper

Publication date: 17 February 2023

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05285

zbMATH Keywords

composition algebrasVeronese varietiesFreudenthal-Tits magic square\(\mathcal{E}_6\)ring geometries

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Projective techniques in algebraic geometry (14N05) Incidence structures embeddable into projective geometries (51A45) Lie geometries in nonlinear incidence geometry (51B25) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Cites Work

• Points and lines. Characterizing the classical geometries
• Veronesean representations of Moufang planes
• Alternative algebras having scalar involutions
• A taste of Jordan algebras
• Universal properties of the Corrado Segre embedding
• Projective planes over 2-dimensional quadratic algebras
• Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras
• The sextonions and \(E_{7\frac12}\)
• UNIVERSAL PROJECTIVE EMBEDDINGS OF THE GRASSMANNIAN, HALF SPINOR, AND DUAL ORTHOGONAL GEOMETRIES
• On the varieties of the second row of the split Freudenthal–Tits Magic Square
• SEXTONIONS AND THE MAGIC SQUARE
• A Note on Quasi-Associative Algebras
• Infinite-Dimensional Quadratic Forms Admitting Composition
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