Geometry of symmetric spaces of type EVI

DOI10.1016/J.JALGEBRA.2023.06.012MaRDI QIDQ6568823

Viktor Petrov, A. V. Semenov

Publication date: 8 July 2024

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

zbMATH Keywords

symmetric spacesFreudenthal triple systemsminuscule embeddings

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie algebras of linear algebraic groups (17B45) Ternary compositions (17A40) Associated groups, automorphisms of Jordan algebras (17C30)

Cites Work

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• A rational construction of Lie algebras of type \(E_{7}\)
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• The connection between the symmetric space \(E_ 7/SO(12)\cdot SO(3)\) and projective planes
• Minuscule embeddings
• Semi-simple algebraic groups in cohomological dimension \(\leq 2\). With a comprehensive introduction in English
• GROUPS OF TYPEE₇OVER ARBITRARY FIELDS
• Algebraic groups with few subgroups
• A Construction of Lie Algebras From J-Ternary Algebras
• The semisimple subalgebras of exceptional Lie algebras
• Strictly Regular Elements in Freudenthal Triple Systems

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