{"paper":{"title":"Orthogonal multiple flag varieties of finite type I : Odd degree case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Toshihiko Matsuki","submitted_at":"2014-02-26T04:28:22Z","abstract_excerpt":"Let $G$ be the split orthogonal group of degree $2n+1$ over an arbitrary field $\\mathbb{F}$ of ${\\rm char}\\,\\mathbb{F}\\ne 2$. In this paper, we classify multiple flag varieties $G/P_1\\times\\cdots\\times G/P_k$ of finite type. Here a multiple flag variety is called of finite type if it has a finite number of $G$-orbits with respect to the diagonal action of $G$ when $|\\mathbb{F}|=\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6405","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"}