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Graded decomposition numbers for Specht modules

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If you have a question about this talk, please contact David Craven.

LMS Groups and their applications triangle meeting

In 2008, Brundan, Kleshchev and Wang showed that Specht modules over cyclotomic Hecke algebras are gradable. Firstly, I will discuss the grading on these modules together with results on graded dimensions of certain Specht modules, in particular, those indexed by hook partitions. Using these formulae, I will then discuss an alternative proof of Chuang, Miyachi and Tan’s result on the graded decomposition numbers of these particular Specht modules in level 1. Finally, I will give an overview of my current work, in which I am using an analogous approach to obtain the (graded) decomposition numbers of a particular set of Specht modules in level 2.

This talk is part of the Algebra Seminar series.

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