Involutions and stable subalgebras

DOI10.1016/j.jalgebra.2017.09.026zbMath1377.16011arXiv1610.06321OpenAlexW2538020382MaRDI QIDQ1675085

Nicolas Grenier-Boley, Karim Johannes Becher, Jean-Pierre E. Tignol

Publication date: 26 October 2017

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

Full work available at URL: https://arxiv.org/abs/1610.06321

zbMATH Keywords

capacityJordan algebracentral simple algebracrossed product characteristic twodouble centraliser theoremmaximal étale subalgebraneat subalgebra

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (3)

Splitting quaternion algebras defined over a finite field extension ⋮ Transfer of quadratic forms and of quaternion algebras over quadratic field extensions ⋮ Skew-symmetric elements of rational group algebras

Cites Work

• Splitting fields of central simple algebras of exponent two
• Division algebras of exponent 2 and characteristic 2
• Discriminant of symplectic involutions
• A taste of Jordan algebras
• Algèbre
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