{"paper":{"title":"R\\'eflexions dans un cristal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Joel Kamnitzer, Pierre Baumann, St\\'ephane Gaussent","submitted_at":"2012-10-24T09:04:20Z","abstract_excerpt":"Let g = n^- + h + n^+ be a symmetrizable Kac-Moody algebra. Let B(\\infty) be the Kashiwara crystal of U_q(n^-), let \\lambda be a dominant integral weight, let T_\\lambda = {t_\\lambda} be the crystal with one element of weight \\lambda, and let B(\\lambda) \\subset B(\\infty) \\otimes T_\\lambda be the crystal of the integrable representation of highest weight \\lambda. We compute the descending string parameters of an element b \\otimes t_\\lambda in B(\\lambda) in terms of the Lusztig parameters of b."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6464","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"}