标题： Bernstein-Gelfand-Gelfand复形和在$\Z_p$上幂零群的上同调，对于权为p小的表示 显示英文标题

标题： Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $\Z_p$ for representations with p-small weights

摘要： 我们证明对于$p$较小的最高权$\lambda$，1）存在一个$\Z_p$-整数版本的Bernstein-Gelfand-Gelfand复形，它仍然是$V(\lambda)$标准复形的一个直和项子复形，2）同样，Kostant公式的一个$\Z_p$-整数（以及模p）版本也是成立的。本文是Mokrane-Tilouine（AG，subm. 12/12/00）论文的补充论文，其中要求了这些结果。 显示英文摘要

摘要： We show that for $p$small highest weight $\lambda$, 1) there is a $\Z_p$-integral version of the Bernstein-Gelfand-Gelfand complex, still a direct summand subcomplex of the standard complex for $V(\lambda)$ 2) Similarly, a $\Z_p$-integral (as well as a mod. p) version of Kostant formula holds true. This paper is a companion paper to the one by Mokrane-Tilouine (AG, subm. 12/12/00), where these results are requested.