Moufang sets of type \(F_4\).

DOI10.1007/s00209-009-0527-6zbMath1198.20028OpenAlexW2037523723MaRDI QIDQ974658

Tom De Medts, Van Maldeghem, Hendrik

Publication date: 4 June 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0527-6

zbMATH Keywords

Tits buildingsunitalsAlbert algebrasMoufang setsoctonion algebras

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Finite affine and projective planes (geometric aspects) (51E15) Exceptional Jordan structures (17C40) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Incidence structures embeddable into projective geometries (51A45)

Related Items (8)

Tits endomorphisms and buildings of type F_4 ⋮ The exceptional simple Lie group \(F_{4(-20)}\), after J. Tits ⋮ Exceptional groups of relative rank one and Galois involutions of Tits quadrangles ⋮ Moufang sets arising from polarities of Moufang planes over octonion division algebras ⋮ Mini-workshop: Rank one groups and exceptional algebraic groups. Abstracts from the mini-workshop held November 10--16, 2019 ⋮ Moufang Sets and Structurable Division Algebras ⋮ Moufang sets of mixed type F4 ⋮ Unitals Admitting All Translations

Cites Work

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• Buildings of spherical type and finite BN-pairs
• A taste of Jordan algebras
• Compact projective planes. With an introduction to octonion geometry
• Moufang sets and Jordan division algebras
• Octonion planes defined by quadratic Jordan algebras
• The Freudenthal-Springer-Tits Constructions Revisited
• A Note on Quadratic Jordan Algebras of Degree 3
• The Exceptional Simple Lie Algebras F ₄ and E ₆
• Linear algebraic groups.

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