{"arxiv_id":"hep-th/9403110","incoming":{"papers":2,"sentences":19,"groups":[{"kind":"background","label":"Cites it as background","papers":2,"sentences":8,"quotes":[{"arxiv_id":"1012.5900","title":"New solutions to the $s\\ell_q(2)$-invariant Yang-Baxter equations at roots of unity","url":"/paper/1012.5900","section":"$sl_q(2)$ algebra and Jimbo's relations for composite $R$-matrices.","sentence":"In the fusions indecomposable representation $ℐ^(ℛ)_{r,ℛ-r}$ arises from the \"merging\" of the representations $V_r$ and $V_ℛ-r$ at roots of unity, when $c_r=c_ℛ-r$ and $V_r⇒𝒰, V_ℛ-r⇒U$ (see for details [ref] ).","intent_p":0.81,"contests_p":null},{"arxiv_id":"1203.6528","title":"New solutions to the $s\\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations","url":"/paper/1203.6528","section":"Introduction","sentence":"Such matrices, as well as intertwiner matrices for affine extensions of the quantum algebras were constructed and there were observed the models possessing the quantum algebra symmetry at roots of unity [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":11},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/9403110"}}