A Specht Filtration of an Induced Specht Module

LetHn be a (degenerate or non-degenerate) Hecke algebra of type G(l, 1, n), defined over a commutative ring R with one, and letS(μ) be a Specht module for Hn. This paper shows that the induced Specht module S(μ)⊗HnHn+1 has an explicit Specht filtration.