Involutions on tensor products of quaternion algebras

DOI10.1080/00927872.2018.1555834zbMath1450.16027arXiv1512.01083OpenAlexW2964229588MaRDI QIDQ5384647

Demba Barry

Publication date: 24 June 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01083

zbMATH Keywords

involutionvaluationquaternion algebracentral simple algebra

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

Cites Work

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• Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4
• A proof of the Pfister factor conjecture
• Discriminant of symplectic involutions
• Compositions of quadratic forms
• The discriminant of a symplectic involution.
• Involutions, odd degree extensions and generic splitting.
• Klassifikation hermitescher Formen über lokalen Körpern
• APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS
• Finite-Dimensional Division Algebras over Fields
• Division algebras of degree 4 and 8 with involution

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