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arxiv: math/0204185 · v2 · submitted 2002-04-14 · 🧮 math.QA

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

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keywords affinealgebrakirillov-reshetikhinalgebrasanalogauthorcertaincharacters
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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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  1. Universal TT- and TQ-relations via centrally extended q-Onsager algebra

    math.QA 2025-11 unverdicted novelty 6.0

    Universal TT- and TQ-relations are derived for the centrally extended q-Onsager algebra, giving explicit polynomials for local conserved quantities in spin-j chains and new symmetries for special boundaries.