Local-global principles for embedding of fields with involution into simple algebras with involution
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Publication:983902
DOI10.4171/CMH/206zbMath1223.11047arXiv0806.0596MaRDI QIDQ983902
Gopal Prasad, Andrei S. Rapinchuk
Publication date: 13 July 2010
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.0596
Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30) Classical groups (algebro-geometric aspects) (14L35) Differential geometry of symmetric spaces (53C35) Finite-dimensional division rings (16K20) Classical groups (11E57)
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On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic ⋮ Characterization of special points of orthogonal symmetric spaces ⋮ The multinorm principle for linearly disjoint Galois extensions ⋮ Outer automorphisms of algebraic groups and determining groups by their maximal tori. ⋮ On Tamagawa numbers of CM tori ⋮ Embeddings of fields into simple algebras: generalizations and applications ⋮ On the fields generated by the lengths of closed geodesics in locally symmetric spaces ⋮ Hasse principle and weak approximation for multinorm equations ⋮ Linear algebraic groups with good reduction ⋮ Embeddings of maximal tori in orthogonal groups ⋮ Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction ⋮ Similarity of quadratic forms over global fields in characteristic 2 ⋮ Embeddings of maximal tori in groups of type \(F_4\) ⋮ Rational Conjugacy Classes of Maximal Tori in Groups of Type Dn ⋮ Hasse principles for multinorm equations ⋮ Local-global questions for divisibility in commutative algebraic groups
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