{"paper":{"title":"Automorphisms for Some \"symmetric\" Multiparameter Quantized Weyl Algebras and Their Localizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Xin Tang","submitted_at":"2016-10-06T12:56:22Z","abstract_excerpt":"In this paper, we study the algebra automorphisms and isomorphisms for a family of \"symmetric\" multiparameter quantized Weyl algebras $\\A$ and some related algebras in the generic case. First, we compute the Nakayama automorphism for $\\A$ and give a necessary and sufficient condition for $\\A$ to be Calabi-Yau. We also prove that $\\A$ is cancellative. Then we determine the automorphism group for $\\A$ and its polynomial extension $\\E$. As an application, we solve the isomorphism problem for $\\{\\A\\}$ and $\\{\\E\\}$. Similar results will be established for the Maltisiniotis multiparameter quantized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01848","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"}