Let H be the Hecke algebra associated with a Coxeter group W , and HJ the Hecke algebra associated with WJ , a parabolic subgroup of W . In [5] an algorithm was described for the construction of a W-graph for an induced module H N HJ V , where V is an HJ -module derived from a WJ -graph. This note is a continuation of [5], and involves the following results: • inducing ordered and bipartite W-graphs; • the relationship between the cell decomposition of a WJ -graph and the cell decomposition of… CONTINUE READING