{"paper":{"title":"On seaweed subalgebras and meander graphs in type C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dmitri Panyushev, Oksana Yakimova","submitted_at":"2016-01-03T15:41:16Z","abstract_excerpt":"In 2000, Dergachev and Kirillov introduced subalgebras of \"seaweed type\" in $\\mathfrak{gl}(n)$ and computed their index using certain graphs. In this article, those graphs are called type-A meander graphs. Then the subalgebras of seaweed type, or just \"seaweeds\", have been defined by Panyushev (2001) for arbitrary simple Lie algebras. Namely, if $\\mathfrak p_1,\\mathfrak p_2\\subset\\mathfrak g$ are parabolic subalgebras such that $\\mathfrak p_1+\\mathfrak p_2=\\mathfrak g$, then $\\mathfrak q=\\mathfrak p_1\\cap\\mathfrak p_2$ is a seaweed in $\\mathfrak g$. A general algebraic formula for the index of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00305","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"}