Graded induction for Specht modules

Details Graded induction for Specht modules Graded induction for Specht modules

2010-08-09

arxiv.org/abs/1008.1462v1

Mathematics

Representation Theory

19 pages, latex

Scientific paper

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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