# 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