Quadratic forms, compositions and triality over \(\mathbb F_1\)

DOI10.1016/j.exmath.2012.08.014zbMath1343.17006OpenAlexW2133227145MaRDI QIDQ392143

Max-Albert Knus, Jean-Pierre E. Tignol

Publication date: 13 January 2014

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2012.08.014

zbMATH Keywords

trialityWeyl groupcomposition algebrafield with one elementsymmetric compositiontrialitarian automorphism

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Buildings and the geometry of diagrams (51E24) Generalizations of fields (12K99) Composition algebras (17A75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur la trialité et certains groupes qui s'en déduisent
• Conjugacy classes of trialitarian automorphisms and symmetric compositions
• Mapping F_1-land:An overview of geometries over the field with one element
• Triality and étale algebras
• Automorphisms of nearly finite Coxeter groups
• Projective Geometry over  1 and the Gaussian Binomial Coefficients