ALGEBRAIC COMBINATORICS

no. 3
The category of finite strings
Krause, Henning1
1 Fakultät für Mathematik Universität Bielefeld D-33501 Bielefeld Germany
Algebraic Combinatorics, Volume 6 (2023) no. 3, pp. 661-676.

We introduce the category of finite strings and study its basic properties. The category is closely related to the augmented simplex category, and it models categories of linear representations. Each lattice of non-crossing partitions arises naturally as a lattice of subobjects.

Received:
Accepted:
Published online:
DOI: 10.5802/alco.274
Classification: 05E10, 16G20, 18N50
Keywords: String, simplex category, quiver representation, non-crossing partition, thick subcategory
Krause, Henning 1

1 Fakultät für Mathematik Universität Bielefeld D-33501 Bielefeld Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Krause, Henning. The category of finite strings. Algebraic Combinatorics, Volume 6 (2023) no. 3, pp. 661-676. doi : 10.5802/alco.274. https://alco.centre-mersenne.org/articles/10.5802/alco.274/

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