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arxiv: 1008.1462 · v1 · pith:AWDBXCPBnew · submitted 2010-08-09 · 🧮 math.RT · math.CO· math.QA

Graded induction for Specht modules

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keywords modulesspechtbrundangradedkleshchevwangalgebrasconjecture
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Recently Brundan, Kleshchev and Wang introduced a $\Z$-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.

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