论文标题
Drinfeld双打的有限共同点有限的有限群体方案
Finite generation of cohomology for Drinfeld doubles of finite group schemes
论文作者
论文摘要
我们证明，任意有限群体方案的Drinfeld双倍有限地产生了共同体。 That is to say, for G any finite group scheme, and D(G) the Drinfeld double of the group ring kG, we show that the self-extension algebra of the trivial representation for D(G) is a finitely generated algebra, and that for each D(G)-representation V the extensions from the trivial representation to V form a finitely generated module over the aforementioned algebra.作为推论，我们发现所有类别rep（g）*_ m dual to Rep（g）也具有有限的类型（即具有有限的共同生成的共生学），并且我们在其krull尺寸上提供了统一的界限。本文完成了E. M. Friedlander和作者的早期工作。
We prove that the Drinfeld double of an arbitrary finite group scheme has finitely generated cohomology. That is to say, for G any finite group scheme, and D(G) the Drinfeld double of the group ring kG, we show that the self-extension algebra of the trivial representation for D(G) is a finitely generated algebra, and that for each D(G)-representation V the extensions from the trivial representation to V form a finitely generated module over the aforementioned algebra. As a corollary, we find that all categories rep(G)*_M dual to rep(G) are of also of finite type (i.e. have finitely generated cohomology), and we provide a uniform bound on their Krull dimensions. This paper completes earlier work of E. M. Friedlander and the author.
