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Symmetric functions and quantum affine algebras
Algebra & Discrete Mathematics| Speaker: | Michael Kleber, Brandeis University |
| Location: | 693 Kerr |
| Start time: | Tue, Jan 8 2002, 3:10PM |
Description
The finite-dimensional representations of the classical Lie groups and
algebras have a beautiful description in terms of Schur functions and other
symmetric functions. The finite-dimensional representation theory of
quantum affine algebras seems to be related to that of the classical Lie
algebras they contain in tantalizing ways, allowing us to work in the ring
of symmetric functions and draw surprising conclusions about
representations of these infinite objects.
This is a joint seminar with the Mathematical
Physics Seminar.