School Seminars and Colloquia

The q-characters of representations of quantum affine algebras

Algebra/Geometry/Topology Seminar

by Natalia Rozhkovskaya


Institution: Kansas State University, Kansas, USA
Date: Thu 16th June 2011
Time: 3:15 PM
Location: Room 215, Richard Berry Building, The University of Melbourne

Abstract: The q-characters of a quantum affine algebra are combinatorial objects that describe the structure of irreducible finite-dimensional representations of this algebra. The evaluation map allows to use the q-characters of quantum affine algebra of type \(A_n\) as a combinatorial tool for description of the underlying Lie algebra \(sl_n\) or \(gl_n\). In the talk we will illustrate this application on corresponding examples and compute q-characters of certain class of modules of quantum affine algebra of \(gl_\infty\) .

For More Information: contact: Arun Ram. email: aram@unimelb.edu.au