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arxiv: math/0009231 · v1 · pith:5MKBPW6Cnew · submitted 2000-09-27 · 🧮 math.QA · math.RT

t-analogue of the q-characters of finite dimensional representations of quantum affine algebras

classification 🧮 math.QA math.RT
keywords affinealgebrasalgorithmcharactersdimensionalfinitequantumrepresentations
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Frenkel-Reshetikhin introduced $q$-characters of finite dimensional representations of quantum affine algebras. We give a combinatorial algorithm to compute them for all simple modules. Our tool is $t$-analogue of the $q$-characters, which is similar to Kazhdan-Lusztig polynomials, and our algorithm has a resemblance with their definition.

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