# Fock spaces and Hecke algebras.

Algebra/Geometry/Topology Seminar

#### by Martina Lanini

Institution: University of Melbourne
Date: Fri 14th June 2013
Time: 3:15 PM
Location: 213 Richard Berry

Abstract: In 1996, Leclerc and Thibon introduced a canonical basis for the q-analogue of the Fock space representation of $$\widehat{\mathfrak{sl}_n}$$ and in a subsequent paper gave a decription of it via combinatorial methods. In this talk, I will present a generalisation of Leclerc-Thibon combinatorial contruction and, if time permits, I will discuss its connection with the representation theory of quantum groups at root of unity. This is an ongoing joint project with A. Ram and P. Sobaje.