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math.QA2000
Symmetric Functions and Representations of Quantum Affine Algebras
Vyjayanthi Chari, Michael Kleber
We study connections between the ring of symmetric functions and the characters of irreducible finite-dimensional representations of quantum affine algebras. We study two families…
math.QA1999
Plucker Relations on Schur Functions
Michael Kleber
We present a set of algebraic relations among Schur functions which are a multi-time generalization of the ``discrete Hirota relations'' known to hold among the Schur functions of…
math.QA1998
Finite Dimensional Representations of Quantum Affine Algebras
Michael Kleber
We investigate the characters of some finite-dimensional representations of the quantum affine algebras using the action of the copy of embedded in it. Firs…