Fully commutative elements and lattice walks

An element of a Coxeter group $W$ is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. These elements were extensively studied by Stembridge in the finite case. In this work we deal with any finite or affine Coxeter...

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Bibliographic Details
Main Authors: Riccardo Biagioli, Frédéric Jouhet, Philippe Nadeau
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2013-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/12800/pdf