Ribbons in Garside monoids

François Digne (1) , Jean Michel (2)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352
2 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

We expound the properties of ribbons in a setting which is general enough to encompass spherical Artin monoids and dual braid monoids of wellgenerated complex reflection groups. We generalize to our setting results on parabolic subgroups of spherical Artin group of Godelle [4], Cumplido [2] and others.

Domaines: Théorie des groupes [math.GR]

François Digne, Jean Michel. Ribbons in Garside monoids. 2022. ⟨hal-03684892⟩