论文标题
Hermitian形式的二次血统(带有勘误表)
Quadratic descent of hermitian forms (with an erratum)
论文作者
论文摘要
研究了Hermitian和Hermitian的二次血统,偏向于除法代数,其中第一类是任意特征的,并获得了根据二次形式的系统的标准。还获得了与偶数代数(分别是正交)相关性的四元基因代数形成的Hermitian(分别偏度偏僻)的精致结果。
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.