The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group

zbMath1358.11058arXiv1406.7705MaRDI QIDQ273880

Anne Quéguiner-Mathieu, Jean-Pierre E. Tignol

Publication date: 22 April 2016

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7705

zbMATH Keywords

orthogonal groupClifford algebraalgebra with involutioncohomological invariant

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Galois cohomology of linear algebraic groups (11E72)

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A rational construction of Lie algebras of type \(E_{7}\) ⋮ Triple linkage of quadratic Pfister forms ⋮ Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties

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