Mathematics Colloquia and Seminars
Return to Colloquia & Seminar listing
A presentation of t-deformed Grothendieck ringsAlgebra & Discrete Mathematics
|Speaker: ||Bernard Leclerc, Université de Caen|
|Location: ||1147 MSB|
|Start time: ||Mon, Nov 5 2012, 4:10PM|
Let g denote a simple Lie algebra of type A, D, E.
Drinfeld and Jimbo have attached to g a quantum affine algebra,
which has a very rich theory of finite-dimensional representations.
This has been studied by many authors over the years (Chari-Pressley,
Ginzburg-Vasserot, Frenkel-Reshetikhin, Frenkel-Mukhin, Kashiwara,
Nakajima, Hernandez, ...). In this talk I will present a recent
joint work with Hernandez concerning the t-deformed Grothendieck
ring of this category, introduced by Varagnolo-Vasserot and Nakajima.
We have obtained a presentation of this ring by generators and relations,
in the spirit of the familiar Drinfeld-Jimbo presentation of the positive
part of the quantum enveloping algebra of g. I will explain how we
derive this presentation, and how it relates to Lusztig's dual