Quadratic descent of generalized quadratic forms

Abstract

Quadratic descent of generalized quadratic forms over a division algebra with involution of the first kind in characteristic two is investigated. Using the notion of transfer, it is shown that a system of quadratic forms, associated to such a generalized quadratic form, can be used to characterize its descent properties.

Keywords

• Generalized quadratic form
• system of quadratic forms
• division algebra with involution
• quadratic extension
• quadratic descent

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