Crystal Bases and Young Tableaux
| dc.creator | Cliff, Gerald | |
| dc.date | 1997-06-19 | |
| dc.date.accessioned | 2026-07-07T09:17:36Z | |
| dc.date.available | 2026-07-07T09:17:36Z | |
| dc.description | Let B be the crystal basis of the minus part of the quantized enveloping algebra of a semi-simple Lie algebra. Kashiwara has shown that B has a combinatorial description in terms of an embedding of B into the tensor product of B and k abstract crystals B_{i_j}, j=1,2,...,k, where the longest word in the Weyl group is s_{i_1}...s_{i_k}. We give an explicit description of the image of this embedding for classical Lie algebras of types A, B, C, D. This description is in terms of semi-standard Young tableaux of types A, B, C, D defined by Kashiwara and Nakashima. | |
| dc.description | 23 pages, plain TeX | |
| dc.identifier | https://arxiv.org/abs/q-alg/9706025 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9706025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153726 | |
| dc.subject | Quantum Algebra | |
| dc.title | Crystal Bases and Young Tableaux | |
| dc.type | text |