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

2000/12/12 by P. Polo, Polo, P., J. Tilouine +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.math/0012093

arxiv created 2000/12/12 · arxiv updated 2009/11/30

Abstract

We show that for psmall highest weight λ, 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(λ) 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.

Cited by

• On the p-adic integration over Igusa towers of Siegel modular varieties

Related

• The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie\n groups as a Kasparov module
• The Bernstein-Gelfand-Gelfand complex and Kasparov theory for SL(3,C)
• Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions I. Rank-One Actions on the Centre
• Gelfand-Kirillov dimensions and associated varieties of highest weight modules
• A generalisation of the category O of Bernstein-Bernstein-Gelfand