Symmetric group algebras, Khovanov-Lauda-Rouquier algebras and Specht modules

Please note the revised time and location

Friday 12th April, 12:05-12:55pm, Carslaw 373

Speaker:

Sin�ad Lyle (University of East Anglia)

Title:

Symmetric group algebras, Khovanov-Lauda-Rouquier algebras and Specht modules

Abstract:

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.

---------------------------------------------------------------------------------------

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