Quantized Affine Algebras and Crystals with Head

Details Quantized Affine Algebras and Crystals with Head Quantized Affine Algebras and Crystals with Head

1997-10-04

arxiv.org/abs/q-alg/9710008v1

Mathematics

Quantum Algebra

19pages, Latex2e

Scientific paper

10.1007/s002200050410

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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