Biquaternion division algebras and fourth power-central elements

DOI10.1016/j.jpaa.2021.106947zbMath1485.11076OpenAlexW3208344138MaRDI QIDQ2065632

Alexander S. Sivatski

Publication date: 12 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106947

zbMATH Keywords

quadratic formPfister formcyclic algebrabiquaternion algebradivided power operation

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Brauer groups (algebraic aspects) (16K50)

Cites Work

• The chain lemma for biquaternion algebras.
• Indecomposable algebras of prime exponent.
• Biquaternion algebras and quartic extensions
• Degree four cohomological invariants for certain central simple algebras
• Isotropy of quadratic forms over the function field of a quadric
• The trace form of a central simple algebra of degree 4.
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