Add to ORKGLet W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset representatives of WJ in W equipped with the induced weak Bruhat ordering of W. All instances when XJ is a distributive lattice are known. In this note we present a new short conceptual proof of this result
In this paper, we study the decomposition of Bruhat intervals in a Coxeter group with respect to cos...
We provide a weaker version of the generalized lifting property that holds in complete generality fo...
International audienceWe investigate a poset structure that extends the weak order on a finite Coxet...
Let W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset ...
Let W be a finite Coxeter group, W-J a parabolic subgroup of W and X-J the set of distinguished cose...
Let (W, S) be a Coxeter system. For a standard parabolic. subgroup W-K, K subset of or equal to ...
AbstractWe present a finite irreducible Coxeter group the weak Bruhat order which is not symmetric c...
Let (W, S) be a Coxeter system. The (left) weak order on W is the partial ordering defined by the re...
Let (W, S) be a Coxeter system. The (left) weak order on W is the partial ordering defined by the re...
Abstract. Let (W,S) be an arbitrary Coxeter system. For each sequence ω = (ω1, ω2,...) ∈ S ∗ in the...
We study the congruence lattice of the poset of regions of a hyperplane arrangement, with particular...
Abstract. Let W be a Coxeter group. We define an element we W to be fully commutative if any reduced...
AbstractLet (W,S) be an arbitrary Coxeter system. For each word ω in the generators we define a part...
Let $(W,S)$ be an arbitrary Coxeter system. For each sequence $\omega =(\omega_1,\omega_2,\ldots) \i...
Let X be a subgroup of a Coxeter group W. In the paper "On Cosets in Coxeter Groups" Turk. J. Math....
In this paper, we study the decomposition of Bruhat intervals in a Coxeter group with respect to cos...
We provide a weaker version of the generalized lifting property that holds in complete generality fo...
International audienceWe investigate a poset structure that extends the weak order on a finite Coxet...
Let W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset ...
Let W be a finite Coxeter group, W-J a parabolic subgroup of W and X-J the set of distinguished cose...
Let (W, S) be a Coxeter system. For a standard parabolic. subgroup W-K, K subset of or equal to ...
AbstractWe present a finite irreducible Coxeter group the weak Bruhat order which is not symmetric c...
Let (W, S) be a Coxeter system. The (left) weak order on W is the partial ordering defined by the re...
Let (W, S) be a Coxeter system. The (left) weak order on W is the partial ordering defined by the re...
Abstract. Let (W,S) be an arbitrary Coxeter system. For each sequence ω = (ω1, ω2,...) ∈ S ∗ in the...
We study the congruence lattice of the poset of regions of a hyperplane arrangement, with particular...
Abstract. Let W be a Coxeter group. We define an element we W to be fully commutative if any reduced...
AbstractLet (W,S) be an arbitrary Coxeter system. For each word ω in the generators we define a part...
Let $(W,S)$ be an arbitrary Coxeter system. For each sequence $\omega =(\omega_1,\omega_2,\ldots) \i...
Let X be a subgroup of a Coxeter group W. In the paper "On Cosets in Coxeter Groups" Turk. J. Math....
In this paper, we study the decomposition of Bruhat intervals in a Coxeter group with respect to cos...
We provide a weaker version of the generalized lifting property that holds in complete generality fo...
International audienceWe investigate a poset structure that extends the weak order on a finite Coxet...