Classification of categories with matrices of coefficient 2 and order n

Samer Allouch; Carlos Simpson

doi:10.1080/00927872.2017.1404081

Classification of categories with matrices of coefficient 2 and order n

Samer Allouch, Carlos Simpson

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

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Abstract

In this paper, we present the categories associated to the square matrix with coefficients 2 of order 3. The family of categories associated to these matrices has five isomorphism classes. In the case of a matrix of order higher than 3, we only demonstrate upper and lower bounds for the number of associated categories.

Original language	English (US)
Pages (from-to)	3079-3091
Number of pages	13
Journal	Communications in Algebra
Volume	46
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2017.1404081
State	Published - Dec 15 2017
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We would like to thank Abdelkrim Aliouche, Persi Diaconis, and Tom Leinster for conversations inspiring the start of this work.

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10.1080/00927872.2017.1404081

https://repository.kaust.edu.sa/bitstream/10754/626398/1/Paper-revision.pdf

Cite this

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author = "Samer Allouch and Carlos Simpson",

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Classification of categories with matrices of coefficient 2 and order n

Abstract

Bibliographical note

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