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partcat

This repository contains tools for working with (linear) categories of partitions.

  • words -- a C++ code for categories of partitions (no linear combinations)
  • plin -- a Singular library for computing with linear combinations of partitions
  • lincat -- a Singular code for approximating linear categories of partitions

See the README files in the corresponding folders for more information.

Acknowledgement

This work was done as a part of a PhD project of Daniel Gromada at Saarland University. It was supported by the collaborative research centre SFB-TRR 195 "Symbolic tools in mathematics and their Application".

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References

[1] D. Gromada: Compact matrix quantum groups and their representation categories. PhD thesis, Saarland University (2020). doi:10.22028/D291-32389. [2] D. Gromada, M. Weber: Generating linear categories of partitions. Preprint (2019). arXiv:1904.00166.

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