Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $\Z_p$ for representations with p-small weights
Polo, P. ; Tilouine, J.
HAL, hal-00133208 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00133208,
     author = {Polo, P. and Tilouine, J.},
     title = {Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $\Z\_p$ for representations with p-small weights},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00133208}
}

Polo, P.; Tilouine, J. Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $\Z_p$ for representations with p-small weights. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00133208/