Koszulity of dual braid monoid algebras via cluster complexes

The dual braid monoid was introduced by Bessis in his work on complex reflection arrangements. The goal of this work is to show that Koszul duality provides a nice interplay between the dual braid monoid and the cluster complex introduced by Fomin and Zelevinsky. Firstly, we prove koszulity of the d...

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Bibliographic Details
Published in:Annales mathématiques Blaise Pascal Vol. 30; no. 2; pp. 141 - 188
Main Authors: Nadeau, Philippe, Josuat-Vergès, Matthieu
Format: Journal Article
Language:English
Published: Université Blaise-Pascal - Clermont-Ferrand 30.04.2024
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ISSN:1259-1734, 2118-7436
Online Access:Get full text
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