{"paper":{"title":"Affine Periplectic Brauer Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Chih-Whi Chen, Yung-Ning Peng","submitted_at":"2016-10-25T08:29:32Z","abstract_excerpt":"We formulate Nazarov-Wenzl type algebras ${\\widehat{P}_d^-}$ for the representation theory of the Periplectic Lie superalgebras $\\mathfrak{p}(n)$. We establish a Arakawa-Suzuki type theorem to provide a connection between $\\mathfrak{p}(n)$-representations and $\\widehat{P}_d^-$-representations. We also consider various tensor product representations for $\\widehat{P}_d^-$. The periplectic Brauer algebra $A_d$ defined by Moon is an quotient of $\\widehat{P}_d^-$. In particular, actions induced by Jucys-Murphy elements can be obtained under the tensor product representation of $\\widehat{P}_d^-$. Al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07781","kind":"arxiv","version":4},"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"}