Stability index of algebras with involution

DOI10.1090/conm/697/14045zbMath1386.16009arXiv1406.5892OpenAlexW2461867432MaRDI QIDQ4635357

Vincent Astier, Thomas Unger

Publication date: 16 April 2018

Published in: Ordered Algebraic Structures and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5892

zbMATH Keywords

Witt groupsimple algebrashermitian forms

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20) Real algebra (13J30)

Related Items (3)

Signatures of hermitian forms, positivity, and an answer to a question of Procesi and Schacher ⋮ Signatures, sums of Hermitian squares and positive cones on algebras with involution ⋮ Positive cones on algebras with involution

Cites Work

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• Signatures of Hermitian forms and ``prime ideals of Witt groups
• Classical groups and the Hasse principle.
• A local-global principle for algebras with involution and Hermitian forms.
• Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
• On the theory of quadratic forms over formally real fields
• Signatures of Hermitian forms and the Knebusch trace formula
• Induction theorems and the structure of the Witt group
• Somme orthogonal d'algebres a involution et algebra de clifford
• A note on hermitian forms

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