Title: Weighted Coxeter graphs and generalized geometric representations of Coxeter Groups
Abstract:We introduce the notion of weighted Coxeter graph and associate to it a certain generalization of the standard geometric representation of a Coxeter group. We prove sufficient conditions for faithfuln...We introduce the notion of weighted Coxeter graph and associate to it a certain generalization of the standard geometric representation of a Coxeter group. We prove sufficient conditions for faithfulness and non-faithfulness of such a representation. In the case when the weighted Coxeter graph is balanced we discuss how the generalized geometric representation is related to the numbers game played on the Coxeter graph.Read More
Publication Year: 2013
Publication Date: 2013-04-02
Language: en
Type: preprint
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