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Quadratic descent of hermitian forms |
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| Authors: | A‐H Nokhodkar |
| Institution: | 1. https://orcid.org/0000-0003-0469-0072;2. Department of Pure Mathematics, Faculty of Science, University of Kashan, P. O. Box 87317‐51167, Kashan, Iran;3. A.-H. Nokhodkar, Department of Pure Mathematics, Faculty of Science, University of Kashan, P. O. Box 87317-51167, Kashan, Iran.;4. E-mail: Email: |
| Abstract: | Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in terms of systems of quadratic forms, is obtained. A refined result is also obtained for hermitian (resp. skew hermitian) forms over a quaternion algebra with symplectic (resp. orthogonal) involution. |
| Keywords: | hermitian form quadratic descent quaternion algebra system of quadratic forms 11E04 11E39 |