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- handle: 10670/1.buy6xv
- Dehornoy, Patrick; Dyer, Matthew et Hohlweg, Christophe (2015). « Garside families in Artin–Tits monoids and low elements in Coxeter groups ». Comptes Rendus Mathematique, 353(5), pp. 403-408.
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http://archipel.uqam.ca/7800/
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http://dx.doi.org/10.1016/j.crma
Ce document est lié à :
doi:10.1016/j.crma.2015.01.008
Mots-clés
Coxeter group Artin–Tits monoid Garside family small root low element large type right-angled type affine type.Sujets proches
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Patrick Dehornoy et al., « Garside families in Artin–Tits monoids and low elements in Coxeter groups », UQAM Archipel : articles scientifiques, ID : 10670/1.buy6xv
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We show that every finitely generated Artin–Tits group admits a finite Garside family, by introducing the notion of a low element in a Coxeter group and proving that the family of all low elements in a Coxeter system (W, S) with S finite includes S and is finite and closed under suffix and join with respect to the right weak order.