Rationally isomorphic Hermitian forms and torsors of some non-reductive groups
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Publication:526348
DOI10.1016/j.aim.2017.03.012zbMath1383.11045arXiv1506.07147OpenAlexW2962743691MaRDI QIDQ526348
Uriya A. First, Eva Bayer-Fluckiger
Publication date: 10 May 2017
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07147
hereditary orderétale cohomologyreductive groupHermitian formgroup schememaximal orderBruhat-Tits theoryorthogonal representationrational isomorphismHermitian category
Étale and other Grothendieck topologies and (co)homologies (14F20) Bilinear and Hermitian forms (11E39)
Related Items (6)
Grothendieck–Serre in the quasi-split unramified case ⋮ The Grothendieck-Serre conjecture over semilocal Dedekind rings ⋮ Involutions of Azumaya algebras ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Patching and weak approximation in isometry groups ⋮ Orders that are étale-locally isomorphic
Cites Work
- Quadric surface bundles over surfaces
- Sesquilinear forms over rings with involution
- Hermitian categories, extension of scalars and systems of sesquilinear forms
- An elementary proof that rationally isometric quadratic forms are isometric
- Introduction to orthogonal, symplectic and unitary representations of finite groups.
- Going up along absolutely flat morphisms
- A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields
- Quadratic and Hermitian forms in additive and Abelian categories
- On finite group actions on reductive groups and buildings
- Bass orders in non semisimple algebras
- Non unimodular Hermitian forms
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Separable algebras over commutative rings
- Reductive groups over a local field
- Schémas en groupes et immeubles des groupes classiques sur un corps local
- Schémas en groupes et immeubles des groupes classiques sur un corps local. II : groupes unitaires
- Involutions on orders. I.
- Hereditary Group Rings
- Hasse principle for $ G$-trace forms
- Patching and weak approximation in isometry groups
- Rationally trivial Hermitian spaces are locally trivial
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