Type: Seminar

Distribution: World

Expiry: 20 May 2011

Auth: athomas@p615.pc (assumed)

The Algebra Seminar on Friday 20 May will be given by Natasha Rozhkovskaya. Following the seminar we will have lunch at the Grandstand, together with the Joint Colloquium crowd. ------------------------------------------------------------------------------ Speaker: Natasha Rozhkovskaya (Kansas State University) Date: Friday 20 May Time: 12.05-12.55pm Venue: Carslaw 175 Title: The q-characters of representations of quantum affine algebras 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. ------------------------------------------------------------------------------