{"paper":{"title":"From \\'etale $P_{+}$-representations to $G$-equivariant sheaves on $G/P$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Gergely Zabradi, Marie-France Vigneras, Peter Schneider","submitted_at":"2012-06-06T06:16:52Z","abstract_excerpt":"Let $K/\\mathbb Q_{p}$ be a finite extension with ring of integers $o$, let $G$ be a connected reductive split $\\mathbb Q_{p}$-group of Borel subgroup $P=TN$ and let $\\alpha$ be a simple root of $T$ in $N$. We associate to a finitely generated module $D$ over the Fontaine ring over $o $ endowed with a semilinear \\'etale action of the monoid $T_{+} $ (acting on the Fontaine ring via $\\alpha$), a $G(\\mathbb Q_{p})$-equivariant sheaf of $o$-modules on the compact space $G(\\mathbb Q_{p})/P(\\mathbb Q_{p})$. Our construction generalizes the representation $D\\boxtimes \\mathbb P^{1} $ of $ GL(2,\\mathbb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1125","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"}