{"paper":{"title":"On noncommutative equivariant bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Alessandro De Paris, Francesco D'Andrea","submitted_at":"2016-06-09T16:33:46Z","abstract_excerpt":"We discuss a possible noncommutative generalization of the notion of an equivariant vector bundle. Let $A$ be a $\\mathbb{K}$-algebra, $M$ a left $A$-module, $H$ a Hopf $\\mathbb{K}$-algebra, $\\delta:A\\to H\\otimes A:=H\\otimes_{\\mathbb{K}} A$ an algebra coaction, and let $(H\\otimes A)_\\delta$ denote $H\\otimes A$ with the right $A$-module structure induced by~$\\delta$. The usual definitions of an equivariant vector bundle naturally lead, in the context of $\\mathbb{K}$-algebras, to an $(H\\otimes A)$-module homomorphism \\[\\Theta:H\\otimes M\\to (H\\otimes A)_\\delta\\otimes_AM\\] that fulfills some approp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09130","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"}