Hasse principle for $ G$-trace forms

DOI10.1070/IM2013v077n03ABEH002643zbMath1368.11030arXiv1210.5765MaRDI QIDQ5327391

Jean-Pierre Serre, Eva Bayer-Fluckiger, Raman Parimala

Publication date: 7 August 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5765

zbMATH Keywords

Hermitian formsquadratic formstrace formsglobal fieldsHasse principleself-dual normal basis

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Quadratic forms over global rings and fields (11E12) Bilinear and Hermitian forms (11E39)

Related Items (5)

Cohomological invariants for \(G\)-Galois algebras and self-dual normal bases ⋮ Autodual normal bases and unitary groups of characteristic 2 ⋮ Rationally isomorphic Hermitian forms and torsors of some non-reductive groups ⋮ Pfister's local–global principle and systems of quadratic forms ⋮ The integral trace form as a complete invariant for real \(S_n\) number fields

Cites Work

• Introduction to orthogonal, symplectic and unitary representations of finite groups.
• Galois algebras, Hasse principle and induction-restriction methods
• Integral bilinear forms with a group action
• Quadratic and Hermitian forms in additive and Abelian categories
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Torsions Quadratiques et Bases Normales Autoduales
• Algèbre
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