{"paper":{"title":"Lifting representations of finite reductive groups: a character relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Emma Morgan, Jeffrey D. Adler, Joshua M. Lansky, Michael Cassel, Yifei Zhao","submitted_at":"2012-05-29T18:57:48Z","abstract_excerpt":"Given a connected reductive group $\\tilde{G}$ over a finite field $k$, and a semisimple $k$-automorphism $\\varepsilon$ of $\\tilde{G}$ of finite order, let $G$ denote the connected part of the group of $\\varepsilon$-fixed points. Then there exists a lifting from packets of representations of $G(k)$ to packets for $\\tilde{G}(k)$. In the case of Deligne-Lusztig representations, we show that this lifting satisfies a character relation analogous to that of Shintani."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6448","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"}