Results 61 to 70 of about 3,228 (247)

On the rank of a Coxeter group

Journal of Group Theory, 2009
Let W be a Coxeter group with Coxeter generators S. The rank of the Coxeter system (W,S) is the cardinality |S| of S. The Coxeter system (W,S) has finite rank if and only if W is finitely generated. If (W,S) has infinite rank, then |S| = |W|, since every element of W is represented by a finite product of elements of S.
Mihalik, Michael L., Ratcliffe, John G.
openaire   +3 more sources

Involution products in Coxeter groups

, 2011
For W a Coxeter group, let = {w ∈ W | w = xy where x, y ∈ W and x 2 = 1 = y 2}. It is well known that if W is finite then W = . Suppose that w ∈ . Then the minimum value of ℓ(x) + ℓ(y) – ℓ(w), where x, y ∈ W with w = xy and x 2 = 1 = y 2, is called
P. J. Rowley, Rowley, P. J.; id_orcid, Rowley, P.J., Hart, Sarah, S. B. Hart, Hart, Sarah B., Hart, S. B.   +6 more
core   +1 more source

Singular polynomials from orbit spaces [PDF]

, 2012
We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
core   +1 more source

Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups [PDF]

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2018
In this paper we construct an abelian category of mixed perverse sheaves attached to any realization of a Coxeter group, in terms of the associated Elias–Williamson diagrammatic category.
Pramod N. Achar, S. Riche, C. Vay
semanticscholar   +1 more source

Equivariant K-homology for some Coxeter groups

, 2007
We obtain the equivariant K-homology of the classifying space \underline{E}W for W a right-angled or, more generally, an even Coxeter group. The key result is a formula for the relative Bredon homology of \underline{E}W in terms of Coxeter cells.
Sanchez-Garcia, Ruben
core   +1 more source

Hereditary conjugacy separability of right angled Artin groups and its applications

, 2012
We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
core   +1 more source

Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups [PDF]

, 2016
We construct and study polyhedral product models for classifying spaces of right-angled Artin and Coxeter groups, general graph product groups and their commutator subgroups.
T. Panov, Yakov Veryovkin
semanticscholar   +1 more source

Reflections and quotients in Coxeter groups

Comptes Rendus. Mathématique
We present a formula relating the set of left descents of an element of a Coxeter group with the sets of left descents of its projections on maximal quotients indexed by simple right descents.
Sentinelli, Paolo
doaj   +1 more source

Sensitivity and Hamming Graphs

Journal of Graph Theory, Volume 112, Issue 3, Page 296-305, July 2026.
ABSTRACT For any m ≥ 3 we show that the Hamming graph H ( n , m ) admits an imbalanced partition into m sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio, Yuval Filmus, Ignacio García‐Marco, Kolja Knauer   +3 more
wiley   +1 more source

Cohomology of Coxeter groups

Topology and its Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources