Root filtration spaces from Lie algebras and abstract root groups

DOI10.1016/j.jalgebra.2005.09.043zbMath1109.51006OpenAlexW2121304283WikidataQ115351601 ScholiaQ115351601MaRDI QIDQ2498853

Arjeh M. Cohen, Gábor Ivanyos

Publication date: 16 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.09.043

zbMATH Keywords

extremal elementgroup of Lie typeTits buildingabstract root group

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (13)

Extremal elements in Lie algebras, buildings and structurable algebras ⋮ The Geometry of Extremal Elements in a Lie Algebra ⋮ Receding polar regions of a spherical building and the center conjecture. ⋮ Root shadow spaces ⋮ A geometric characterization of the symplectic Lie algebra ⋮ 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 ⋮ Root filtration spaces from Lie algebras and abstract root groups ⋮ Simple Lie algebras having extremal elements ⋮ Inner ideals of real simple Lie algebras

Cites Work

• A theorem on sandwich algebras
• Root filtration spaces from Lie algebras and abstract root groups
• Lie algebras generated by extremal elements.
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