Graded induction for Specht modules

Abstract

Recently Brundan, Kleshchev and Wang introduced a $\mathbb{Z}$-grading on the Specht modules of the degenerate and non-degenerate cyclotomic Hecke algebras of type $G(\ell ,1,n)$. 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.

19 pages, latex

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Cited by in corpus (2)

• Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of Type A
• On the structure of cyclotomic nilHecke algebras