Applications of systems of quadratic forms to generalised quadratic forms

Authors

  • A. H. Nokhodkar University of Kashan

Keywords:

Generalized quadratic form, system of quadratic forms, Witt index, division algebra with involution.

Abstract

‎A system of quadratic forms is associated to every generalized 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 generalized quadratic forms‎. An application of this construction to the Witt index of generalized quadratic forms is also given.

Published

2020-08-08

Issue

Vol. 102 No. 3 (2020)

Section

Articles
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