Mathematics – Quantum Algebra
Scientific paper
1999-11-16
Commun.Math.Phys. 216 (2001) 23-57
Mathematics
Quantum Algebra
35 pages, Latex
Scientific paper
10.1007/s002200000323
We study finite-dimensional representations of quantum affine algebras using
q-characters. We prove the conjectures from math.QA/9810055 and derive some of
their corollaries. In particular, we prove that the tensor product of
fundamental representations is reducible if and only if at least one of the
corresponding normalized R-matrices has a pole.
Frenkel Edward
Mukhin Evgeny
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