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

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

2000-09-27

arxiv.org/abs/math/0009231v1

Mathematics

Quantum Algebra

18 pages

Scientific paper

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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