论文标题
与中央简单代数上的投影仪的自动形态组相邻代数组
Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra
论文作者
论文摘要
我们表明,在特征零字段上,任何绝对简单的线性代数组都是中央简单代数上的某些投影仪的自动形态组。可以用这些术语来描述投射均匀品种;特别是,我们通过定义二次方程来重现二次方程。
We show that any adjoint absolutely simple linear algebraic group over a field of characteristic zero is the automorphism group of some projector on a central simple algebra. Projective homogeneous varieties can be described in these terms; in particular, we reproduce quadratic equations by Lichtenstein defining them.