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arxiv: math/0408113 · v2 · submitted 2004-08-09 · 🧮 math.QA · math.CO

Finite-Dimensional Crystals B^(2,s) for Quantum Affine Algebras of type D_(n)⁽¹⁾

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keywords affinealgebraalgebrasfinite-dimensionalquantumtypebasiscombinatorial
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The Kirillov--Reshetikhin modules W^{r,s} are finite-dimensional representations of quantum affine algebras U'_q(g), labeled by a Dynkin node r of the affine Kac--Moody algebra g and a positive integer s. In this paper we study the combinatorial structure of the crystal basis B^{2,s} corresponding to W^{2,s} for the algebra of type D_n^{(1)}.

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