The category of finite strings
Algebraic Combinatorics, Tome 6 (2023) no. 3, pp. 661-676

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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.

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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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Krause, Henning. The category of finite strings. Algebraic Combinatorics, Tome 6 (2023) no. 3, pp. 661-676. doi: 10.5802/alco.274

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