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2. Quadratic descent of hermitian forms

Author

A.-H. Nokhodkar

Subjects
Involution (mathematics), Pure mathematics, Quaternion algebra, General Mathematics, 010102 general mathematics, 01 natural sciences, Hermitian matrix, 010101 applied mathematics, Quadratic equation, Skew-Hermitian matrix, Mathematics::Differential Geometry, 0101 mathematics, Symplectic geometry, Mathematics
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.

Published
2019

3. Descent properties of biquaternion algebras with involution

Author

A.-H. Nokhodkar

Subjects
Algebra, Involution (mathematics), Biquaternion, General Mathematics, 010102 general mathematics, 0103 physical sciences, 010307 mathematical physics, 0101 mathematics, 01 natural sciences, Mathematics
Published
2017

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