Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over p for representations with p-small weights
Abstract
We show that for psmall highest weight λ, 1) there is a p-integral version of the Bernstein-Gelfand-Gelfand complex, still a direct summand subcomplex of the standard complex for V(λ) 2) Similarly, a 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.