t-analogs of q-characters of Kirillov-Reshetikhin modules of quantm affine algebras

Details t-analogs of q-characters of Kirillov-Reshetikhin modules of quantm affine algebras t-analogs of q-characters of Kirillov-Reshetikhin modules of quantm affine algebras

2002-04-14

arxiv.org/abs/math/0204185v2

Mathematics

Quantum Algebra

15 pages; typos corrected

Scientific paper

We prove the Kirillov-Reshetikhin conjecture concerning certain finite
dimensional representations of a quantum affine algebra $\Ua$ when $\hat\g$ is
an untwisted affine Lie algebra of type $ADE$. We use $t$--analog of
$q$--characters introduced by the author in an essential way.

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