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arXiv · q-alg/9710008

Quantized Affine Algebras and Crystals with Head

Seok-Jin Kang·Masaki Kashiwara
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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.

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Seok-Jin Kang, Masaki Kashiwara. 1997-10-04. Quantized Affine Algebras and Crystals with Head. https://doi.org/10.1007/s002200050410

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