{"paper":{"title":"From conjugacy classes in the Weyl group to unipotent classes, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"G. Lusztig","submitted_at":"2011-04-01T15:16:25Z","abstract_excerpt":"Let G be a connected reductive group over an algebraically closed field of characteristic p. In an earlier paper we defined a surjective map \\Phi_p from the set \\underline{W} of conjugacy classes in the Weyl group W to the set of unipotent classes in G. Here we prove three results about \\Phi_p. First we show that \\Phi_p has a canonical one sided inverse. Next we show that \\Phi_0 =r\\Phi_p for a unique map r. Finally we construct a natural surjective map from \\underline{W} to the set of special representations of W which is the composition of \\Phi_0 with another natural map; we show that this ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0196","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"}