Degree four cohomological invariants for certain central simple algebras

DOI10.1016/j.jalgebra.2019.01.037zbMath1475.16017OpenAlexW2922023574WikidataQ128226085 ScholiaQ128226085MaRDI QIDQ1732902

Alexander S. Sivatski

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.01.037

zbMATH Keywords

Brauer groupcup-productbiquaternioncyclic elementsdivided power operation

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Homological methods in associative algebras (16E99)

Related Items (2)

Applications of the Bloch-Kato conjecture to cohomological invariants and symbol length ⋮ Biquaternion division algebras and fourth power-central elements

Cites Work

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• Operations in Milnor \(K\)-theory
• Some applications of Jordan norms to involutorial simple associative algebras
• Biquaternion algebras and quartic extensions
• The trace form of a central simple algebra of degree 4.
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Corps a Involution Neutralises par une Extension Abelienne Elementaire
• Zero Divisors in Tensor Products of Division Algebras
• FIELDS OF DEFINITION FOR DIVISION ALGEBRAS
• Comparison of some field invariants

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