{"paper":{"title":"W- algebras and Duflo Isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Nikolaos Papalexiou, Panagiotis Batakidis","submitted_at":"2012-10-29T18:13:00Z","abstract_excerpt":"We prove that when Kontsevich's deformation quantization is applied on weight homogeneous Poisson structures, the operators in the $\\ast-$ product formula are weight homogeneous. We then consider the linear Poisson case $X=\\mathfrak{g}^\\ast$ for a semi simple Lie algebra $\\mathfrak{g}$. As an application we provide an isomorphism between the Cattaneo-Felder-Torossian reduction algebra $H^0(\\mathfrak{g},\\mathfrak{m},\\chi)$ and the $W-$ algebra $(U(\\mathfrak{g})/U(\\mathfrak{g})\\mathfrak{m}_\\chi)^\\mathfrak{m}$. We also show that in the $W-$ algebra setting, $(S(\\mathfrak{g})/S(\\mathfrak{g})\\mathf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7759","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"}