A generalisation of higher-rank graphs

Mark V. Lawson; Alina Vdovina

doi:10.1017/S0004972721000599

A generalisation of higher-rank graphs

Mark V. Lawson^*, Alina Vdovina

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

53 Downloads (Pure)

Abstract

We introduce 'generalised higher-rank k-graphs' as a class of categories equipped with a notion of size. They extend not only higher-rank k-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalised higher-rank k-graphs can be constructed using Zappa-Szép products of groupoids and higher-rank graphs.

Original language	English
Pages (from-to)	257-266
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	105
Issue number	2
Early online date	26 Jul 2021
DOIs	https://doi.org/10.1017/S0004972721000599
Publication status	Published - Apr 2022

Keywords

18B40
2020 Mathematics subject classification
46L05

ASJC Scopus subject areas

General Mathematics

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10.1017/S0004972721000599

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© 2021 Australian Mathematical Publishing Association Inc.
Accepted author manuscript, 151 KBLicence: CC BY-NC-ND

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AB - We introduce 'generalised higher-rank k-graphs' as a class of categories equipped with a notion of size. They extend not only higher-rank k-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalised higher-rank k-graphs can be constructed using Zappa-Szép products of groupoids and higher-rank graphs.

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KW - 46L05

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A generalisation of higher-rank graphs

Abstract

Keywords

ASJC Scopus subject areas

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