{"paper":{"title":"Bimodule and twisted representation of vertex operator algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Qifen Jiang, Xiangyu Jiao","submitted_at":"2015-01-09T04:14:09Z","abstract_excerpt":"In this paper, for a vertex operator algebra $V$ with an automorphism $g$ of order $T,$ an admissible $V$-module $M$ and a fixed nonnegative rational number $n\\in\\frac{1}{T}\\Bbb{Z}_{+},$ we construct an $A_{g,n}(V)$-bimodule $\\AA_{g,n}(M)$ and study its some properties, discuss the connections between bimodule $\\AA_{g,n}(M)$ and intertwining operators. Especially, bimodule $\\AA_{g,n-\\frac{1}{T}}(M)$ is a natural quotient of $\\AA_{g,n}(M)$ and there is a linear isomorphism between the space ${\\cal I}_{M\\,M^j}^{M^k}$ of intertwining operators and the space of homomorphisms $\\rm{Hom}_{A_{g,n}(V)}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02039","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"}