Title: On the wildness of cambrian lattices,
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.