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

Hiraku Nakajima
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Abstract

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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BibTeXRIS

Hiraku Nakajima. 2000-09-27. t-analogue of the q-characters of finite dimensional representations of quantum affine algebras. https://doi.org/10.1142/9789812810007_0009

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