Generalisations of the Tits representation
classification
🧮 math.CO
keywords
representationchamberscombinatorialconstructcoxetereasyelementfeaturing
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We construct a group K_n with properties similar to infinite Coxeter groups. In particular, it has a geometric representation featuring hyperplanes and simplicial chambers. The generators of K_n are given by 2-element subsets of {0, .., n}. We give some easy combinatorial results on the finite residues of K_n.
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