{"paper":{"title":"Richardson elements for parabolic subgroups of classical groups in positive characteristic","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Karin Baur, Simon M. Goodwin","submitted_at":"2006-08-31T09:15:03Z","abstract_excerpt":"Let $G$ be a simple algebraic group of classical type over an algebraically closed field $k$. Let $P$ be a parabolic subgroup of $G$ and let $\\p = \\Lie P$ be the Lie algebra of $P$ with Levi decomposition $\\p = {\\l}\\oplus \\u$, where $\\u$ is the Lie algebra of the unipotent radical of $P$ and $\\l$ is a Levi complement. Thanks to a fundamental theorem of R. W. Richardson, $P$ acts on $\\u$ with an open dense orbit; this orbit is called the {\\em Richardson orbit} and its elements are called {\\em Richardson elements}. Recently, the first author gave constructions of Richardson elements in the case "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608775","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"}