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arXiv · 1512.00799

Decreasing diagrams and coherent presentations

Ivan Yudin
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Abstract

We show how decreasing diagrams introduced in the theory of rewriting systems can be used to prove coherence type theorems in category theory. We apply this method to describe a coherent presentation of the $0$-Hecke monoid $\mathcal{H}(\Sigma_n)$ of the symmetric group $\Sigma_n$, i.e. a presentation by generators, relations, and relations between relations.

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Ivan Yudin. 2015-12-02. Decreasing diagrams and coherent presentations. https://arxiv.org/abs/1512.00799

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