Graded induction for Specht modules
Abstract
Recently Brundan, Kleshchev and Wang introduced a -grading on the Specht modules of the degenerate and non-degenerate cyclotomic Hecke algebras of type G(,1,n). In this paper we show that induced Specht modules have an explicit filtration by shifts of graded Specht modules. This proves a conjecture of Brundan, Kleshchev and Wang.
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