Sinéad Lyle (University of East Anglia)
Symmetric group algebras, Khovanov-Lauda-Rouquier algebras and Specht modules
The Khovanov-Lauda-Rouquier algebras are certain \(\mathbb{Z}\)-graded algebra which have been shown to be isomorphic to the cyclotomic Hecke algebras of type \(G(l,1,n)\), one example of which is the symmetric group algebra. As a consequence, we have a grading on the symmetric group algebra. The Specht modules have been shown to be graded, so as a consequence, we may talk about graded decomposition numbers.
In this talk, we introduce the KLR algebras and discuss some aspects of their representation theory.
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We will take the speaker to lunch after the talk.
See the Algebra Seminar web page for information about other seminars in the series.
John Enyang John.Enyang@sydney.edu.au