PreprintA Specht filtration of an induced Specht moduleAndrew MathasAbstractLet \(\mathscr{H}_n\) be a (degenerate or nondegenerate) Hecke algebra of type \(G(l,1,n)\), defined over a commutative ring \(R\) with \(1\), and let \(S(\mu)\) be a Specht module for \(\mathscr{H}_n\). This paper shows that the induced Specht module \(S(\mu)\otimes_{\mathscr{H}_n}\mathscr{H}_{n+1}\) has an explicit Specht filtration. Keywords: Hecke algebras, Specht modules, induction.AMS Subject Classification: Primary 20C08; secondary 20C30, 05E10.
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