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