Graded induction for Specht modules
Representation Theory
2010-08-10 v1 Combinatorics
Quantum Algebra
Abstract
Recently Brundan, Kleshchev and Wang introduced a -grading on the Specht modules of the degenerate and non-degenerate cyclotomic Hecke algebras of type . 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.
Cite
@article{arxiv.1008.1462,
title = {Graded induction for Specht modules},
author = {Jun Hu and Andrew Mathas},
journal= {arXiv preprint arXiv:1008.1462},
year = {2010}
}
Comments
19 pages, latex