English

Quantized Affine Algebras and Crystals with Head

q-alg 2015-12-22 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9710008,
  title  = {Quantized Affine Algebras and Crystals with Head},
  author = {Seok-Jin Kang and Masaki Kashiwara},
  journal= {arXiv preprint arXiv:q-alg/9710008},
  year   = {2015}
}

Comments

19pages, Latex2e

R2 v1 2026-07-22T19:22:13.554Z