Embeddings of maximal tori in groups of type \(F_4\)

DOI10.2140/pjm.2021.311.53OpenAlexW2949047869MaRDI QIDQ2057571

Federico Scavia, Andrew Fiori

Publication date: 7 December 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03282

zbMATH Keywords

quadratic formsJordan algebrasexceptional groupsmaximal tori

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Linear algebraic groups over global fields and their integers (20G30) Exceptional groups (20G41)

Cites Work

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• Embedding functor for classical groups and Brauer-Manin obstruction
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• Local-global principles for embedding of fields with involution into simple algebras with involution
• Orthogonal groups containing a given maximal torus.
• Embeddings of rank-2 tori in algebraic groups
• Characterization of special points of orthogonal symmetric spaces
• Essential dimension of Albert algebras
• Rational Conjugacy Classes of Maximal Tori in Groups of Type Dn

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