{"paper":{"title":"The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra $\\widehat{\\mathfrak{sl}_2}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"A.Vershik, N.Tsilevich","submitted_at":"2014-11-18T13:29:54Z","abstract_excerpt":"We introduce and study the so-called serpentine representations of the infinite symmetric group $\\sinf$, which turn out to be closely related to the basic representation of the affine Lie algebra $\\widehat{\\mathfrak{sl}_2}$ and representations of the Virasoro algebra.\n  This is a new version of the manuscript of the same authors \"On a relation between the basic representation of the affine Lie algebra $\\widehat\\sl$ and a Schur--Weyl representation of the infinite symmetric group\" (arXiv:1403.1558)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4835","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"}