Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2

DOI10.1016/j.jalgebra.2022.01.006zbMath1487.11035OpenAlexW4205695242MaRDI QIDQ2075247

Detlev W. Hoffmann

Publication date: 14 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.01.006

zbMATH Keywords

quadratic formisotropyPfister formoctonion algebraquaternion algebranorm formpurely inseparable extension

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Inseparable field extensions (12F15) Composition algebras (17A75) Nonassociative division algebras (17A35)

Cites Work

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• On quadratic forms over inseparable quadratic extensions
• The behavior of differential forms under purely inseparable extensions
• The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions
• Witt kernels and Brauer kernels for quartic extensions in characteristic two
• Isotropy of quadratic forms over the function field of a quadric in characteristic 2
• Structure of inseparable extensions
• Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2
• Quadratic forms and Pfister neighbors in characteristic 2
• TOTARO'S QUESTION ON ZERO-CYCLES ON $G_2$, $F_4$ AND $E_6$ TORSORS
• Witt kernels of bilinear forms for algebraic extensions in characteristic 2

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