A system of quadratic forms is associated to every generalised quadratic form over a division algebra with involution of the first kind in characteristic two. It is shown that this system determines the isotropy behaviour and the isometry class of generalised quadratic forms. An application of this construction to the Witt index of generalised quadratic forms is also given.

中文翻译：

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二次型系统在广义二次型中的应用

一个二次型系统与一个除法代数上的每个广义二次型相关联，特征二为第一类对合。结果表明，该系统确定了广义二次型的各向同性行为和等距类。还给出了这种构造在广义二次型 Witt 指数中的应用。