Algebraic construction of contragradient quasi-Verma modules in positive characteristic

Details Algebraic construction of contragradient quasi-Verma modules in positive characteristic Algebraic construction of contragradient quasi-Verma modules in positive characteristic

2001-05-05

arxiv.org/abs/math/0105042v1

Mathematics

Algebraic Geometry

31 pages, AMSLaTeX

Scientific paper

In the present paper we investigate a new class of infinite-dimensional modules over the hyperalgebra of a semi-simple algebraic group in positive chararacteristic called quasi-Verma modules. We provide a purely algebraic construction of the global Grothendieck-Cousin complex corresponding to the standard line bumdle ${\mathcal L}(\lambda)$ on the Flag variety of the algebraic group stratified by Schubert cells. We prove that the complex consists of direct sums of quasi-Verma modules for the highest weights of the form $w\cdot\lambda$ for various elements $w$ of the Weyl group.

Affiliated with

Also associated with

No associations

Rating

Algebraic construction of contragradient quasi-Verma modules in positive characteristic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Algebraic construction of contragradient quasi-Verma modules in positive characteristic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic construction of contragradient quasi-Verma modules in positive characteristic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-492776