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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.04845","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-13T15:47:00Z","cross_cats_sorted":[],"title_canon_sha256":"7e201f96fc7bb5671c02c709e3a42682bf6b69dcfcbc0bf3947f1a923725c8ac","abstract_canon_sha256":"2fec82e90bd7326b5b510b05d6441bbb6458c7d3256e25b4c0467bb51b94f31d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:39.887817Z","signature_b64":"2N0nlg2yi/4G7NY1NCABbfBKJuDIc9dWjai53IdnD6oERgPYZxLmPbpExRprSreVbfWMPxLahXx1rRFNKJkABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73e817bc15b9daf6a02a6d11dc33a2958194adff06279856a66a55c34dfd14c3","last_reissued_at":"2026-05-18T00:22:39.887404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:39.887404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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}. 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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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.04845","created_at":"2026-05-18T00:22:39.887473+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.04845v2","created_at":"2026-05-18T00:22:39.887473+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04845","created_at":"2026-05-18T00:22:39.887473+00:00"},{"alias_kind":"pith_short_12","alias_value":"OPUBPPAVXHNP","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OPUBPPAVXHNPNIBK","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OPUBPPAV","created_at":"2026-05-18T12:31:34.259226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW","json":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW.json","graph_json":"https://pith.science/api/pith-number/OPUBPPAVXHNPNIBKNUI5YM5CSW/graph.json","events_json":"https://pith.science/api/pith-number/OPUBPPAVXHNPNIBKNUI5YM5CSW/events.json","paper":"https://pith.science/paper/OPUBPPAV"},"agent_actions":{"view_html":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW","download_json":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW.json","view_paper":"https://pith.science/paper/OPUBPPAV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.04845&json=true","fetch_graph":"https://pith.science/api/pith-number/OPUBPPAVXHNPNIBKNUI5YM5CSW/graph.json","fetch_events":"https://pith.science/api/pith-number/OPUBPPAVXHNPNIBKNUI5YM5CSW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW/action/storage_attestation","attest_author":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW/action/author_attestation","sign_citation":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW/action/citation_signature","submit_replication":"https://pith.science/pith/OPUBPPAVXHNPNIBKNUI5YM5CSW/action/replication_record"}},"created_at":"2026-05-18T00:22:39.887473+00:00","updated_at":"2026-05-18T00:22:39.887473+00:00"}