{"paper":{"title":"Some Non Quasi-finite irreducible Modules of Semisimple Groups with Frobenius Maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Xiaoyu Chen","submitted_at":"2017-05-13T15:47:00Z","abstract_excerpt":"This paper is the continuation of \\cite{CXY}. Let ${\\bf G}$ be a simply connected semisimple algebraic group over $\\Bbbk=\\bar{\\mathbb{F}}_q$, the algebraically closure of $\\mathbb{F}_q$ (the finite field with $q=p^e$ elements), and $F$ be the standard Frobenius map. Let ${\\bf B}$ be an $F$-stable Borel subgroup and ${\\bf T}$ an $F$-stable maximal torus contained in ${\\bf B}$. This paper studies the original induced module $\\op{Ind}_{\\bf B}^{\\bf G}\\lambda=\\Bbbk{\\bf G}\\otimes_{\\Bbbk{\\bf B}}\\lambda$ (here $\\Bbbk{\\bf H}$ is the group algebra of the group ${\\bf H}$, and $\\lambda$ is a rational char"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04845","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"}