{"paper":{"title":"Generic property and conjugacy classes of homogeneous Borel subalgebras of restricted Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bin Shu","submitted_at":"2014-04-04T03:59:58Z","abstract_excerpt":"Let $(\\mathfrak{g},[p])$ be a finite-dimensional restricted Lie algebra over an algebraically closed field $\\mathbb{K}$ of characteristic $p>0$, and $G$ be the adjoint group of $\\mathfrak{g}$. We say that $\\mathfrak{g}$ satisfying the {\\sl generic property} if $\\mathfrak{g}$ admits generic tori introduced in \\cite{BFS}. A Borel subalgebra (or Borel for short) of $\\mathfrak{g}$ is by definition a maximal solvable subalgebra containing a maximal torus of $\\mathfrak{g}$, which is further called generic if additionally containing a generic torus. In this paper, we first settle a conjecture propose"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1149","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"}