Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety
Department of Mathematics, Sukkur IBA University, Sukkur 65200, Pakistan
Received: 1 March 2019 / Revised: 14 March 2019 / Accepted: 14 March 2019 / Published: 22 March 2019
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be an algebraically closed field of prime characteristic and let G
be a semisimple, simply connected, linear algebraic group. It is an open problem to find the cohomology of line bundles on the flag variety
, where B
is a Borel subgroup of G
. In this paper we consider this problem in the case of
and compute the cohomology for the case when
. We also give the corresponding results for the two dimensional modules
. These results will help us understand the representations of
in the given cases.
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MDPI and ACS Style
Anwar, M.F. Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety. Mathematics 2019, 7, 295.
Anwar MF. Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety. Mathematics. 2019; 7(3):295.
Anwar, Muhammad F. 2019. "Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety." Mathematics 7, no. 3: 295.
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