dorsal/arxiv
View SchemaQuantized Affine Algebras and Crystals with Head
| Authors | Seok-Jin Kang, Masaki Kashiwara |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710008 |
| URL | https://arxiv.org/abs/q-alg/9710008 |
| DOI | 10.1007/s002200050410 |
| Journal | Comm. Math. Phys. 195 (1998), no. 3, 725--740 |
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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"abstract": "Motivated by the work of Nakayashiki on the inhomogeneous vertex models of\n6-vertex type, we introduce the notion of crystals with head. We show that the\ntensor product of the highest weight crystal of level k and the perfect crystal\nof level l is isomorphic to the tensor product of the perfect crystal of level\nl-k and the highest weight crystal of level k.",
"arxiv_id": "q-alg/9710008",
"authors": [
"Seok-Jin Kang",
"Masaki Kashiwara"
],
"categories": [
"q-alg",
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"doi": "10.1007/s002200050410",
"journal_ref": "Comm. Math. Phys. 195 (1998), no. 3, 725--740",
"title": "Quantized Affine Algebras and Crystals with Head",
"url": "https://arxiv.org/abs/q-alg/9710008"
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