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arXiv · 1901.09879

Chinese syzygies by insertions

Nohra Hage·Philippe Malbos
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Abstract

We construct a finite convergent semi-quadratic presentation for the Chinese monoid by adding column generators and using combinatorial properties of insertion algorithms on Chinese staircases. We extend this presentation into a coherent one whose generators are columns, rewriting rules are defined by insertion algorithms, and whose syzygies are defined as relations among insertion algorithms. Such a coherent presentation is used for representations of Chinese monoids, in particular, it is a way to describe actions of Chinese monoids on categories.

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Nohra Hage, Philippe Malbos. 2021-11-20. Chinese syzygies by insertions. https://doi.org/10.1007/s00233-021-10244-4

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