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

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

2004-08-09

arxiv.org/abs/math/0408113v2

J. Alg. Combin. 23 (2006) 317-354

Mathematics

Quantum Algebra

34 pages; final version to appear in J. Alg. Combin

Scientific paper

10.1007/s10801-006-8347-9

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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