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math.GRDec 1, 2006
6
citations (OpenAlex)
authors
  • François Digne
  • Jean Michel
institutions
  • Institut de Mathématiques de Jussieu-Paris Rive Gauche
  • Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
  • Université de Picardie Jules Verne
arXiv abstractPDF
paper

Garside and locally Garside categories

arXiv:math/0612652

Abstract

We define and give axioms for Garside and locally Garside categories. We give an application to Coxeter and Artin groups and Deligne-Lusztig varieties.

We have fixed some errors pointed to us by E. Godelle and P. Dehornoy and added new results in section 8

Cited by in corpus (3)

  • The center of pure complex braid groups
  • Algorithms for Garside calculus
  • Left-Garside categories, self-distributivity, and braids
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