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arXiv · 2009.06998

Group-theoretical graph categories

Daniel Gromada
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Abstract

The semidirect product of a finitely generated group dual with the symmetric group can be described through so-called group-theoretical categories of partitions (covers only a special case; due to Raum--Weber, 2015) and skew categories of partitions (more general; due to Maassen, 2018). We generalize these results to the case of graph categories, which allows to replace the symmetric group by the group of automorphisms of some graph.

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Daniel Gromada. 2020-09-15. Group-theoretical graph categories. https://doi.org/10.1007/s10801-021-01063-5

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