{"paper":{"title":"Cycle Spaces of Infinite Dimensional Flag Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Joseph A. Wolf","submitted_at":"2015-09-10T19:40:34Z","abstract_excerpt":"Let $G$ be a complex simple direct limit group, specifically $SL(\\infty;\\mathbb{C})$, $SO(\\infty;\\mathbb{C})$ or $Sp(\\infty;\\mathbb{C})$. Let $\\mathcal{F}$ be a (generalized) flag in $\\mathbb{C}^\\infty$. If $G$ is $SO(\\infty;\\mathbb{C})$ or $Sp(\\infty;\\mathbb{C})$ we suppose further that $\\mathcal{F}$ is isotropic. Let $\\mathcal{Z}$ denote the corresponding flag manifold; thus $\\mathcal{Z} = G/Q$ where $Q$ is a parabolic subgroup of $G$. In a recent paper with Ignatyev and Penkov, we studied real forms $G_0$ of $G$ and properties of their orbits on $\\mathcal{Z}$. Here we concentrate on open $G"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03294","kind":"arxiv","version":5},"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"}