{"paper":{"title":"Links between generalized Montr\\'eal-functors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Gergely Z\\'abr\\'adi, M\\'arton Erd\\'elyi","submitted_at":"2014-12-18T09:41:15Z","abstract_excerpt":"Let $o$ be the ring of integers in a finite extension $K/\\mathbb{Q}_p$ and $G=\\mathbf{G}(\\mathbb{Q}_p)$ be the $\\mathbb{Q}_p$-points of a $\\mathbb{Q}_p$-split reductive group $\\mathbf{G}$ defined over $\\mathbb{Z}_p$ with connected centre and split Borel $\\mathbf{B}=\\mathbf{TN}$. We show that Breuil's pseudocompact $(\\varphi,\\Gamma)$-module $D^\\vee_{\\xi}(\\pi)$ attached to a smooth $o$-torsion representation $\\pi$ of $B=\\mathbf{B}(\\mathbb{Q}_p)$ is isomorphic to the pseudocompact completion of the basechange $\\mathcal{O_E}\\otimes_{\\Lambda(N_0),\\ell}\\widetilde{D_{SV}}(\\pi)$ to Fontaine's ring (vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5778","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"}