{"paper":{"title":"On projective modules over finite quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA","math.RT"],"primary_cat":"math.QA","authors_text":"Cristian Vay","submitted_at":"2016-12-29T17:59:32Z","abstract_excerpt":"Let $\\mathcal{D}$ be the Drinfeld double of the bosonization ${\\mathfrak B}(V)\\#\\Bbbk G$ of a finite-dimensional Nichols algebra ${\\mathfrak B}(V)$ over a finite group $G$. It is known that the simple $\\mathcal{D}$-modules are parametrized by the simple modules over $\\mathcal{D}(G)$, the Drinfeld double of $G$. This parametrization can be obtained by considering the head $\\mathsf{L}(\\lambda)$ of the Verma module $\\mathsf{M}(\\lambda)$ for every simple $\\mathcal{D}(G)$-module $\\lambda$. In the present work, we show that the projective $\\mathcal{D}$-modules are filtered by Verma modules and the B"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09220","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"}