A minimal and non-alternative realisation of the Cayley plane
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Publication:6592699
DOI10.1007/s11565-024-00498-5MaRDI QIDQ6592699
Francesco Zucconi, Daniele Corradetti, Alessio Marrani
Publication date: 26 August 2024
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Lie algebras of Lie groups (22E60) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Composition algebras (17A75) Nonassociative division algebras (17A35)
Cites Work
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- A magic pyramid of supergravities
- Squaring the magic
- On representations and compactifications of symmetric Riemannian spaces
- On 4-transitivity in the Moufang plane
- Some new classes of division algebras
- Geometry of planes over nonassociative algebras
- Global symmetries of Yang-Mills squared in various dimensions
- Subalgebras of the split octonions
- The magic square and symmetric compositions
- A geometrical interpretation of Okubo spin group
- Lie groups in the foundations of geometry
- 16-dimensional compact projective planes with a collineation group of dimension \(\geq 35\)
- On Hjelmslev-Moufang planes
- Eine Identität fünften Grades, der gewisse Isotope von Kompositions- Algebren genügen
- Cayley numbers and normal simple Lie algebras of type \(G\).
- Zur Struktur von Alternativkörpern.
- On an algebraic generalization of the quantum mechanical formalism.
- Gradings on symmetric composition algebras
- ON THE GEOMETRY OF THE SUPERMULTIPLET IN M-THEORY
- The Geometry of the Octonions
- Okubo Algebras: Automorphisms, Derivations and Idempotents
- The maximal subgroups of the classical groups
- Algebras with nondegenerate associative symmetric bilinear forms permitting composition
- Algebras with nondegenerate associative symmetric bilinear forms permitting composition, II
- The octonions
- A kind of magic
- Composition algebras with associative bilinear form
- Composition Algebras
- On flexible composition algebras
- Some groups of transformations defined by Jordan algebras. II. Groups of type F4.
- Flexible composition algebras and okubo algebras
- The Exceptional Simple Lie Algebras F 4 and E 6
- The projective geometry of Freudenthal's magic square.
- Local triality and some related algebras
- Conformal and quasiconformal realizations of exceptional Lie groups
- Les groupes réels simples, finis et continus.
- Conjugation Matters. Bioctonionic Veronese Vectors and Cayley-Rosenfeld Planes
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