A generalization of plactic–coplactic equivalences and Kazhdan–Lusztig cells

Hohlweg, Christophe (2005). « A generalization of plactic–coplactic equivalences and Kazhdan–Lusztig cells ». Journal of Algebra, 283(2), pp. 671-689.

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Résumé

We propose a generalization of plactic (Knuth) and coplactic (dual-Knuth) equivalence relations to finitely generated Coxeter groups. We obtain a decomposition of the left cells by coplactic classes which agrees with two induction properties of the cells. In the case of simply laced Coxeter groups, we give a crochet procedure which is a useful tool to study the structure of plactic and coplactic classes, and helps construct bijections between them.

Type: Article de revue scientifique
Mots-clés ou Sujets: Coxeter groups; plactic and coplactic classes
Unité d'appartenance: Faculté des sciences > Département de mathématiques
Déposé par: Christophe Hohlweg
Date de dépôt: 29 mars 2016 14:06
Dernière modification: 20 avr. 2016 20:02
Adresse URL : http://www.archipel.uqam.ca/id/eprint/8034

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