, Volume 23, Issue 4, pp 317-354

Finite-dimensional crystals B 2,s for quantum affine algebras of type D (1) n

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Abstract

The Kirillov–Reshetikhin modules W r,s are finite-dimensional representations of quantum affine algebras U’q labeled by a Dynkin node r of the affine Kac–Moody algebra \(\mathfrak{g}\) 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 (1) n.

2000 Mathematics Subject Classification Primary—17B37; Secondary—81R10
Supported in part by the NSF grants DMS-0135345 and DMS-0200774.