Hyperbolic Involutions and Quadratic Extensions

DOI10.1080/00927870903431258zbMath1233.16033OpenAlexW2314055188MaRDI QIDQ3081514

Mohammad Gholamzadeh Mahmoudi

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903431258

zbMATH Keywords

Hermitian formscentral simple algebras with involutionhyperbolic involutionsanisotropic involutionshyperbolicity criteria

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

Cites Work

• Unnamed Item
• Algebras with involution that become hyperbolic over the function field of a conic.
• Hyperbolic involutions
• Algebras with involution that become hyperbolic under a given extension
• Hyperbolicity of certain involutions over the function field of a quadric
• A Cassels-Pfister theorem for involutions on central simple algebras
• HYPERBOLICITY OF ALGEBRAS WITH INVOLUTION AND CONNECTIONS WITH CLIFFORD ALGEBRAS
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Pfister’s theorem for orthogonal involutions of degree 12
• Periodicity of Clifford algebras and exact octagons of Witt groups

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