Root shadow spaces

DOI10.1016/J.EJC.2006.05.016zbMath1117.51015OpenAlexW1986264050MaRDI QIDQ881812

Arjeh M. Cohen, Gábor Ivanyos

Publication date: 18 May 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.05.016

zbMATH Keywords

Grassmannianspoint-line spacesroot filtrations spacesroot shadow spaces

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24)

Related Items (14)

Extremal elements in Lie algebras, buildings and structurable algebras ⋮ Convex subspaces of Lie incidence geometries ⋮ The Geometry of Extremal Elements in a Lie Algebra ⋮ Receding polar regions of a spherical building and the center conjecture. ⋮ A geometric characterization of the symplectic Lie algebra ⋮ On inclusions of exceptional long root geometries of type E ⋮ On Lie algebras generated by few extremal elements ⋮ A geometric characterization of the classical Lie algebras ⋮ Unnamed Item ⋮ Recovering the Lie algebra from its extremal geometry ⋮ Inner ideals in Lie algebras and spherical buildings ⋮ On characterizing the long-root geometries ⋮ Simple Lie algebras having extremal elements ⋮ Inner ideals of real simple Lie algebras

Cites Work

• The geometry of root subgroups in exceptional groups. II
• Root filtration spaces from Lie algebras and abstract root groups
• The geometry of \(k\)-transvection groups
• Point-line characterizations of Lie geometries
• Involutions in Chevalley groups over fields of even order
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