Andrew Mathas (University of Sydney)
Graded Specht modules
Brundan and Kleshchev recently introduced a \(\mathbb{Z}\)-grading on the cyclotomic Hecke algebras of the complex refection groups of type \(G(r,1,n)\). Brundan, Kleshchev and Wang showed how to define a graded lift of the Specht modules for these algebras over a field. In this talk I will explain what is now known about these modules and why they are important. Finally I will describe a new way of looking at the KLR grading which gives new information about the grading and, in particular, a better basis for the graded Specht modules.
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After the seminar we will take the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
John Enyang John.Enyang@sydney.edu.au