Results 141 to 150 of about 2,142 (221)

Irreducible Coxeter groups

open access: yes, 2005
We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-spherical and non-affine Coxeter group is strongly indecomposable in the sense that all its finite index subgroups are (directly) indecomposable. We prove
Paris, Luis
core  

On affine Weyl group elements of positive Coxeter type

open access: yes
We introduce a class of elements of the Iwahori-Weyl group of a reductive group that we call positive Coxeter elements. This class consists of elements which are linked to partial Coxeter elements in the finite Weyl group in a certain canonical way ...
Schremmer, Felix   +2 more
core  

On an open problem of Green and Losonczy: exact enumeration of freely braided permutations

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2004
Recently, Green and Losonczy~ GL1,GL2 introduced freely braided permutation as a special class of restricted permutations has arisen in representation theory.
Toufik Mansour
doaj  

Reflection groups and coxeter groups

open access: yes, 2014
honors thesisCollege of ScienceMathematicsMladen BestvivaIn this paper we give a survey of the theory of Coxeter Groups and Reflection groups. This survey will give an undergraduate reader a full picture of Coxeter Group theory, and will lean slightly ...
Bingham, Kouver
core  

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