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arXiv · 1704.01861

On the wildness of cambrian lattices

Frédéric Chapoton·Baptiste Rognerud
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Abstract

In this note, we investigate the representation type of the cambrian lattices and some other related lattices. The result is expressed as a very simple trichotomy. When the rank of the underlined Coxeter group is at most 2, the lattices are of finite representation type. When the Coxeter group is a reducible group of type A 3 1 , the lattices are of tame representation type. In all the other cases they are of wild representation type.

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Frédéric Chapoton, Baptiste Rognerud. 2017-04-06. On the wildness of cambrian lattices. https://arxiv.org/abs/1704.01861

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