A new construction of Moufang quadrangles of type 𝐸₆,𝐸₇ and 𝐸₈

DOI10.1090/S0002-9947-2014-06195-3zbMath1360.51004arXiv1301.6094OpenAlexW2061223480MaRDI QIDQ5246967

Lien Boelaert, Tom De Medts

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6094

zbMATH Keywords

Moufang polygonslinear algebraic groupsJordan algebrascomposition algebrasexceptional groupsstructurable algebrasoctonion algebrasMoufang quadrangles\(J\)-ternary algebrasquadrangular algebras

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Exceptional Jordan structures (17C40) Composition algebras (17A75) Exceptional groups (20G41)

Related Items (2)

Minuscule embeddings ⋮ $E_8$, the most exceptional group

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Kneser-Tits conjecture for groups with Tits-index \textsf{E}\(_{8,2}^{66}\) over an arbitrary field.
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• A taste of Jordan algebras
• A characterization of quadratic forms of type \(E_6\), \(E_7\), and \(E_8\)
• Exceptional Moufang quadrangles and structurable algebras
• Tensor Products of Composition Algebras, Albert Forms and Some Exceptional Simple Lie Algebras
• Lie algebras graded by the root systems 𝐵𝐶ᵣ,𝑟≥2
• An algebraic structure for Moufang quadrangles

This page was built for publication: A new construction of Moufang quadrangles of type 𝐸₆,𝐸₇ and 𝐸₈