English

The category of finite strings

Representation Theory 2021-09-14 v1 Combinatorics Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2109.05745,
  title  = {The category of finite strings},
  author = {Henning Krause},
  journal= {arXiv preprint arXiv:2109.05745},
  year   = {2021}
}

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16 pages