Abstract. The main goal of the paper is to show that the fully commutative elements in the ane Coxeter group eCn form a union of two-sided cells. Then we completely answer the question of when the fully commutative elements of W form or do not form a union of two-sided cells in the case where W is either a nite or an ane Coxeter group. Let W be a Coxeter group with S the distinguished generator set. The fully com-mutative elements of W were dened by Stembridge: w 2 W is fully commutative if any two reduced expressions of w can be transformed from each other by only applying the relations st = ts with s; t 2 S and o(st) = 2, or equivalently, w has no reduced expression of the form w = x(sts:::)y, where sts::: is a string of length o(st)>...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
37 pages, 27 figuresInternational audienceAn element of a Coxeter group $W$ is fully commutative if ...
37 pages, 27 figuresInternational audienceAn element of a Coxeter group $W$ is fully commutative if ...
Abstract. The main goal of the paper is to show that the fully commutative elements in the affine Co...
Abstract. Let W be an irreducible nite or ane Coxeter group and let Wc be the set of fully commutati...
Abstract. Let W be an irreducible finite or affine Coxeter group and let Wc be the set of fully comm...
Abstract. Let W be a finite or an affine Coxeter group and Wc the set of all the fully commutative e...
Abstract. Let W be a Coxeter group. We define an element we W to be fully commutative if any reduced...
Abstract. Let W be a Coxeter group. We define an element w ~ W to be fully commutative if any reduce...
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with th...
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with th...
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with th...
Abstract. An element of a Coxeter group W is fully commutative if any two of its reduced decompositi...
An element of a Coxeter group W is fully commutative if any two of its reduced decompositions are re...
An element of a Coxeter group W is fully commutative if any two of its reduced decompositions are re...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
37 pages, 27 figuresInternational audienceAn element of a Coxeter group $W$ is fully commutative if ...
37 pages, 27 figuresInternational audienceAn element of a Coxeter group $W$ is fully commutative if ...
Abstract. The main goal of the paper is to show that the fully commutative elements in the affine Co...
Abstract. Let W be an irreducible nite or ane Coxeter group and let Wc be the set of fully commutati...
Abstract. Let W be an irreducible finite or affine Coxeter group and let Wc be the set of fully comm...
Abstract. Let W be a finite or an affine Coxeter group and Wc the set of all the fully commutative e...
Abstract. Let W be a Coxeter group. We define an element we W to be fully commutative if any reduced...
Abstract. Let W be a Coxeter group. We define an element w ~ W to be fully commutative if any reduce...
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with th...
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with th...
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with th...
Abstract. An element of a Coxeter group W is fully commutative if any two of its reduced decompositi...
An element of a Coxeter group W is fully commutative if any two of its reduced decompositions are re...
An element of a Coxeter group W is fully commutative if any two of its reduced decompositions are re...
An element of a Coxeter group is fully commutative if any two of its reduced decompositions are rela...
37 pages, 27 figuresInternational audienceAn element of a Coxeter group $W$ is fully commutative if ...
37 pages, 27 figuresInternational audienceAn element of a Coxeter group $W$ is fully commutative if ...