Embeddings of maximal tori in orthogonal groups

DOI10.5802/AIF.2840zbMath1318.11054arXiv1305.3411OpenAlexW1946708786MaRDI QIDQ486742

Eva Bayer-Fluckiger

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3411

zbMATH Keywords

orthogonal groupsmaximal torusétale algebra

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Classical groups (11E57)

Related Items (6)

Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic ⋮ Topological and geometric obstructions on Einstein-Hilbert-Palatini theories ⋮ Isometries of quadratic spaces ⋮ Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction ⋮ Embeddings of maximal tori in groups of type \(F_4\) ⋮ Rational Conjugacy Classes of Maximal Tori in Groups of Type Dn

Cites Work

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• Weakly commensurable \(S\)-arithmetic subgroups in almost simple algebraic groups of types B and C.
• Embedding functors and their arithmetic properties
• Local-global principles for embedding of fields with involution into simple algebras with involution
• Orthogonal groups containing a given maximal torus.
• Introduction to quadratic forms
• Characterization of special points of orthogonal symmetric spaces
• On isometries of inner product spaces

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