{"paper":{"title":"Wonderful Compactification of a Cartan Subalgebra of a Semisimple Lie Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO","math.SG"],"primary_cat":"math.RT","authors_text":"Sam Evens, Yu Li","submitted_at":"2024-11-29T18:51:58Z","abstract_excerpt":"Let $\\mathfrak h$ be a Cartan subalgebra of a complex semisimple Lie algebra $\\mathfrak g.$ We define a compactification $\\bar {\\mathfrak h}$ of $\\mathfrak h$, which is analogous to the closure $\\bar H$ of the corresponding maximal torus $H$ in the adjoint group of $\\mathfrak g$ in its wonderful compactification, which was introduced and studied by De Concini and Procesi \\cite{DCP}. We observe that $\\bar {\\mathfrak h}$ is a matroid Schubert variety and prove that the irreducible components of the boundary $\\bar {\\mathfrak h} - \\mathfrak h$ of $\\mathfrak h$ are divisors indexed by root system d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19936","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.19936/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}