{"paper":{"title":"Integrable Models Associated to Classical Representations of U_q(\\widehat{sl(n)})","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J. Abad, M. Rios","submitted_at":"1996-09-23T15:23:48Z","abstract_excerpt":"We describe a representation for $U_q(\\widehat{sl(n)})$, when $q$ is not a root of unity, based on the fundamental representation of $sl(n)$. As $U_q(sl(n))$ has a Hopf algebra structure with a non-commutative co-product, we look for a intertwine matrix $R$ that relates two possible definitions of that co-product. We solve cases for $n=2$ and $n=3$, and then we generalize for any $n$. We obtain the hamiltonian associated to such matrix $R$, corresponding to a multi-state chain. As the case for $n=2$ corresponds to the XXZ model with spin $1/2$, for $n>2$ we have the generalization of the XXZ m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9609220","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}