Abstract
In (Howlett and Nguyen in J Algebra 361:188–212, 2012), the concept of W-graph ideal in a Coxeter group was introduced, and it was showed that a W-graph can be constructed from a given W-graph ideal (this is the case of equal parameters). In this paper, we generalize the definition of W-graph ideal in the weighted Coxeter groups, and describe how to construct a W-graph from a given W-graph ideal in the case of unequal parameters.
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The work is supported by China NSFC Grant 11271239.
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Yin, Y. W-graphs for Hecke algebras with unequal parameters. manuscripta math. 147, 43–62 (2015). https://doi.org/10.1007/s00229-014-0719-1
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DOI: https://doi.org/10.1007/s00229-014-0719-1