{"paper":{"title":"On classification of non-equal rank affine conformal embeddings and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"math.RT","authors_text":"Drazen Adamovic, Ozren Perse, Paolo Papi, Pierluigi Moseneder Frajria, Victor G. Kac","submitted_at":"2017-02-20T18:08:26Z","abstract_excerpt":"We complete the classification of conformal embeddings of a maximally reductive subalgebra $\\mathfrak k$ into a simple Lie algebra $\\mathfrak g$ at non-integrable non-critical levels $k$ by dealing with the case when $\\mathfrak k$ has rank less than that of $\\mathfrak g$. We describe some remarkable instances of decomposition of the vertex algebra $V_{k}(\\mathfrak g)$ as a module for the vertex subalgebra generated by $\\mathfrak k$. We discuss decompositions of conformal embeddings and constructions of new affine Howe dual pairs at negative levels. In particular, we study an example of conform"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06089","kind":"arxiv","version":2},"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"}