Finite-dimensional Representations of Quantum Affine Algebras
classification
q-alg
math.QA
keywords
conjecturerepresentationsaffinealgebrasfundamentalirreducibilityproductstensor
read the original abstract
We present a conjecture on the irreducibility of the tensor products of fundamental representations of quantized affine algebras. This conjecture implies in particular that the irreducibility of the tensor products of fundamental representations is completely described by the poles of the R-matrices. The conjecture is proved in certain cases.
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