Hyperbolicity of algebras with involution over a given extension.

DOI10.1016/j.jpaa.2010.08.015zbMath1246.16030OpenAlexW2064403622MaRDI QIDQ531340

Su Chi Wen, Jung-Miao Kuo

Publication date: 29 April 2011

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.2010.08.015

zbMATH Keywords

algebras with involutionClifford algebrasanisotropic central simple algebrashyperbolic algebrashyperbolic central simple algebras

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Clifford algebras, spinors (15A66) Finite-dimensional division rings (16K20) Quadratic spaces; Clifford algebras (11E88)

Cites Work

• Algebras with involution that become hyperbolic under a given extension
• A Cassels-Pfister theorem for involutions on central simple algebras
• Separable algebras over commutative rings
• HYPERBOLICITY OF ALGEBRAS WITH INVOLUTION AND CONNECTIONS WITH CLIFFORD ALGEBRAS
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