Quadratic descent of hermitian forms

A.‐H. Nokhodkar

Mathematische Nachrichten, 2019, vol. 292, issue 10, 2294-2299

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.

Date: 2019
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