Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493378 | Journal of Algebra | 2005 | 19 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christophe Hohlweg,