On the wildness of cambrian latticesReport as inadecuate

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1 IRMA - Institut de Recherche Mathématique Avancée

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 $A {1}^{3}$ , the lattices are of tame representation type. In all the other cases they are of wild representation type.

Keywords : Representation type Poset Cambrian lattice

Author: Frédéric Chapoton - Baptiste Rognerud -

Source: https://hal.archives-ouvertes.fr/


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