Breadcrumb

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

Wed 13 February 2013, 14:30

Sinead Lyle
University of East Anglia

Algebra and Geometry

Organisers: Tony Skyner, Neil Saunders

ABSTRACT
The symmetric group algebra is a special case of a Hecke algebra of type $A$, which, in turn, is a special case of an Ariki-Koike algebra. The representation theory of these algebras share many characteristics and the techniques used to study them tend to be combinatorial in nature.
It has recently been shown that the Khovanov-Lauda-Rouquier algebras of type $A$ are isomorphic to Ariki-Koike algebras, thus opening up new avenues of research. For all of these algebras, there exists an important class of modules, known as Specht modules. We will discuss some recent and ongoing work on these Specht modules.