Algebra Seminar: Rozhkovskaya -- The q-characters of representations of quantum affine algebras

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.  

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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.  

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