TL;DR
This paper introduces a computer algorithm for explicitly computing the BGG resolution and its cohomology, enabling practical calculations of sheaf cohomology groups on flag varieties with an available implementation.
Contribution
The paper presents a novel algorithm for computing BGG resolutions and cohomology, with practical applications and an accessible software implementation.
Findings
Successfully computes BGG resolutions and cohomology groups
Enables calculation of sheaf cohomology on flag varieties
Provides open-source software for the algorithm
Abstract
We present a computer algorithm to explicitly compute the BGG resolution and its cohomology. We give several applications, in particular computation of various sheaf cohomology groups on flag varieties. An implementation of the algorithm is available at https://github.com/RikVoorhaar/bgg-cohomology.
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