{"paper":{"title":"Schubert decompositions for ind-varieties of generalized flags","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.RT","authors_text":"Ivan Penkov, Lucas Fresse","submitted_at":"2015-06-27T06:35:14Z","abstract_excerpt":"Let $\\mathbf{G}$ be one of the ind-groups $GL(\\infty)$, $O(\\infty)$, $Sp(\\infty)$ and $\\mathbf{P}\\subset \\mathbf{G}$ be a splitting parabolic ind-subgroup. The ind-variety $\\mathbf{G}/\\mathbf{P}$ has been identified with an ind-variety of generalized flags in the paper \"Ind-varieties of generalized flags as homogeneous spaces for classical ind-groups\" (Int. Math. Res. Not. 2004, no. 55, 2935--2953) by I. Dimitrov and I. Penkov. In the present paper we define a Schubert cell on $\\mathbf{G}/\\mathbf{P}$ as a $\\mathbf{B}$-orbit on $\\mathbf{G}/\\mathbf{P}$, where $\\mathbf{B}$ is any Borel ind-subgro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08263","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"}