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

By H. Nakajima. 2000

69 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/121c8e0aca5ba4febd6c0d41a0d4e197af417dea

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In Algebra and Number Theory

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In Mathematical Physics

Citations in the corpus

Braid group actions and tensor products (2001, background): “Part (ii) was proved in [CP4], (see also [VV], [ N2 ] in the case when π(u) ∈ C[q, q−1, u]. In the general case, choose v ∈ C[q, q−1]”
Extremal weight modules of quantum affine algebras (2002, background): “Q A ] 2 4 Let ĝ be an affine Lie algebra, and let Uq(ĝ) be the quantum affine algebra introduced by Drinfeld and Jimbo.”
On Minimal Affinizations of Representations of Quantum Groups (2006, background): “For example, this symmetry can be observed on the diagrams of q-characters in [ Nak2 , Fig. 1] and [H1, Sect.”
Quiver varieties and tensor products (2001, unknown): “Preliminaries (II) – geometric part 10 3.”