{"paper":{"title":"q-Analogue of $A_{m-1}\\oplus A_{n-1}\\subset A_{mn-1}$","license":"","headline":"","cross_cats":["math-ph","math.GR","math.MP"],"primary_cat":"math.QA","authors_text":"A. I. Georgieva, P. P. Raychev, R. P. Roussev, V. G. Gueorguiev","submitted_at":"2002-09-18T23:58:18Z","abstract_excerpt":"A natural embedding $A_{m-1}\\oplus A_{n-1}\\subset A_{mn-1}$ for the corresponding quantum algebras is constructed through the appropriate comultiplication on the generators of each of the $A_{m-1}$ and $A_{n-1}$ algebras. The above embedding is proved in their $q$-boson realization by means of the isomorphism between the $\\mathcal{A}_q^{-}$ (mn)$\\sim {\\otimes} ^n \\mathcal{A}_q^{-}$(m)$\\sim {\\otimes}^m\\mathcal{A}_q^{-}$(n) algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0209243","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"}