{"paper":{"title":"Donkin-Koppinen filtration for general linear supergroup","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"A.N.Zubkov, R. La Scala","submitted_at":"2008-12-16T23:15:51Z","abstract_excerpt":"We consider a generalization of Donkin-Koppinen filtrations for coordinate superalgebras of general linear supergroups. More precisely, if $G=GL(m|n)$ is a general linear supergroup of (super)degree $(m|n)$, then its coordinate superalgebra $K[G]$ is a natural $G\\times G$-supermodule. For every finitely generated ideal $\\Gamma\\subseteq \\Lambda\\times\\Lambda$, the largest subsupermodule $O_{\\Gamma}(K[G])$ of $K[G]$, which has all composition factors of the form $L(\\lambda)\\otimes L(\\mu)$ where $(\\lambda, \\mu)\\in\\Gamma$, has a decreasing filtration $O_{\\Gamma}(K[G])=V_0\\supseteq V_1\\supseteq...$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3179","kind":"arxiv","version":3},"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"}