论文标题
Mumford-Tate的分类，可合理的极化霍奇结构
Classification of the Mumford--Tate Groups of Rational Polarizable Hodge Structures
论文作者
论文摘要
令G为坦纳基人类别的可极化理性霍奇结构类别的亲代gene群。我们表明，G的派生组的G的商是Serre组，G的派生组是G的伴随组的简单连接覆盖，并且伴随组G是特定简单的代数组的产物。由于Mumford-Tate群体正是G的代数商，因此也描述了它们。
Let G be the pro-algebraic group attached to the tannakian category of polarizable rational Hodge structures. We show that the quotient of G by its derived group is the Serre group, the derived group of G is the simply connected covering of the adjoint group of G, and that the adjoint group G is a product of specific simple algebraic groups. As the Mumford--Tate groups are exactly the algebraic quotients of G, this also describes them.
