{"paper":{"title":"The Iwasawa Algebra $\\Omega_G$ and Its Dual Artin Coalgebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Feng Wei, Zheng Fang","submitted_at":"2016-10-25T07:39:22Z","abstract_excerpt":"For any compact $p$-adic Lie group $G$, the Iwasawa algebra $\\Omega_G$ over finite field $\\mathbb{F}_p$ is a complete noetherian semilocal algebra. It is shown that $\\Omega_G$ is the dual algebra of an artinian coalgebra $C$. We induce a duality between the derived category $\\mathcal{D}^b_{fg}(_{\\Omega_G}\\mathcal{M})$ of bounded complexes of left $\\Omega_G$-modules with finitely generated cohomology modules and the derived category $\\mathcal{D}^b_{qf}(^C\\mathcal{M})$ of bounded complexes of left $C$-comodules with quasi-finite cohomology comodules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07761","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"}