SMS scnews item created by John Enyang at Tue 9 Apr 2013 1346
Type: Seminar
Modified: Thu 11 Apr 2013 1210
Distribution: World
Expiry: 13 Apr 2013
Calendar1: 12 Apr 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

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

### Lyle

###### Speaker:

Sinéad 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.

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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

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