Quantized Affine Algebras and Crystals with Head

Abstract

Motivated by the work of Nakayashiki on the inhomogeneous vertex models of 6-vertex type, we introduce the notion of crystals with head. We show that the tensor product of the highest weight crystal of level k and the perfect crystal of level l is isomorphic to the tensor product of the perfect crystal of level l-k and the highest weight crystal of level k.

19pages, Latex2e

Cited by in corpus (3)

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• Demazure crystals and tensor products of perfect Kirillov-Reshetikhin crystals with various levels