Tools for the BGG complex
This is an implementation of a computer algorithm to compute the BGG resolution and its cohomology of a Verma module.
You can find the documentation for this package right here: https://bgg-cohomology.readthedocs.io/en/latest/
sage run the following command:
sage -pip install git+https://github.com/RikVoorhaar/bgg-cohomology.git
In MacOS and linux this should run just fine. When using Windows, make sure to run this command from the Sagemath Shell.
To open the
.ipynb files in the
examples folders, you need to
first of all clone this repository. Then you can either launch
Sagemath Notebook (on Windows) or run the following in the command line:
There is a basic tutorial of how to use this module in the
computations directory contains notebooks with the code we used
for the results in our preprint.
All the code has been written by Rik Voorhaar. Additional credit goes to Nicolas Hemelsoet for many aspects of the algorithm implemented here. This work has been partially financially supported by NCCR SwissMAP.
This software is free to use and edit. When using this software for academic purposes, please cite the following preprint: https://arxiv.org/abs/1911.00871
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