𝑡–analogs of 𝑞–characters of Kirillov-Reshetikhin modules of quantum affine algebras

Nakajima, Hiraku

doi:10.1090/S1088-4165-03-00164-X

$t$–analogs of $q$–characters of Kirillov-Reshetikhin modules of quantum affine algebras
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by Hiraku Nakajima

Represent. Theory 7 (2003), 259-274

DOI: https://doi.org/10.1090/S1088-4165-03-00164-X

Published electronically: July 10, 2003

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Abstract:

We prove the Kirillov-Reshetikhin conjecture concerning certain finite dimensional representations of a quantum affine algebra ${\mathbf U}_q(\widehat {\mathfrak g})$ when $\widehat {\mathfrak g}$ 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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