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APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS
Published online by Cambridge University Press: 13 February 2020
Abstract
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.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 3 , December 2020 , pp. 374 - 386
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
This research is partially supported by the University of Kashan under Grant No. 890193/1.
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