Strictly Regular Elements in Freudenthal Triple Systems

DOI10.2307/1996111zbMath0258.17002OpenAlexW4242300522MaRDI QIDQ5672779

Joseph C. Ferrar

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996111

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items

Albert algebras over and other rings, A Cayley-Dickson Process for a Class of Structurable Algebras, New simple Lie superalgebras in characteristic 3, Freudenthal triple systems in arbitrary characteristic, Freudenthal gauge theory, Cubic Action of a Rank one Group, Linear preservers and representations with a 1-dimensional ring of invariants, On the classification of Freudenthal triple systems and Lie algebras of type \(E_7\), Nonsupersymmetric magic theories and Ehlers truncations, Topological wave functions and heat equations, Small black hole constituents and horizontal symmetry, Chevalley groups of type \(E_7\) in the 56-dimensional representation., Jordan algebras, exceptional groups, and Bhargava composition, Zero-cycles on projective varieties and the norm principle, Freudenthal triple systems by root system methods, Projective geometry of Freudenthal's varieties of certain type, Algebras of type \(E_7\) over number fields, The Rost invariant has trivial kernel for quasi-split groups of low rank, Geometries, the principle of duality, and algebraic groups, The magic square and symmetric compositions. II, Isotropic trialitarian algebraic groups, Black holes and general Freudenthal transformations, Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie algebras of type \(E_6\)
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Groups of type E7.
• Octonion planes defined by quadratic Jordan algebras
• A Construction of Lie Algebras from a Class of Ternary Algebras
• A Geometry for E 7