{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KXY4O6VRZE3H632PYPR7HA2RA6","short_pith_number":"pith:KXY4O6VR","schema_version":"1.0","canonical_sha256":"55f1c77ab1c9367f6f4fc3e3f3835107a73f2a61863c781d90441fed565618d1","source":{"kind":"arxiv","id":"1211.0333","version":3},"attestation_state":"computed","paper":{"title":"Representations of Modular Skew Group Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Liping Li","submitted_at":"2012-11-02T00:25:56Z","abstract_excerpt":"In this paper we study representations of skew group algebras $\\Lambda G$, where $\\Lambda$ is a connected, basic, finite-dimensional algebra (or a locally finite graded algebra) over an algebraically closed field $k$ with characteristic $p \\geqslant 0$, and $G$ is an arbitrary finite group each element of which acts as an algebra automorphism on $\\Lambda$. We characterize skew group algebras with finite global dimension or finite representation type, and classify the representation types of transporter categories for $p \\neq 2,3$. When $\\Lambda$ is a locally finite graded algebra and the actio"},"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":"1211.0333","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-11-02T00:25:56Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"96f9091db9df12a5607f063085bfd36267a4537ba3765cf31d2fa3023b76ceb9","abstract_canon_sha256":"e0f7365e705b9a7e4ba310ecb4913dc4aad7a883b1baf4424098a28265e24cbf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:05.326535Z","signature_b64":"4+zHYqljMmi+Y4xIcNrESe6fCpwfiyxWxuCAkPNccxcD+vkIAnHGq+kmeyu/AnrERDmDsKw5PI/phBL84MjQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55f1c77ab1c9367f6f4fc3e3f3835107a73f2a61863c781d90441fed565618d1","last_reissued_at":"2026-05-18T02:54:05.325943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:05.325943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representations of Modular Skew Group Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Liping Li","submitted_at":"2012-11-02T00:25:56Z","abstract_excerpt":"In this paper we study representations of skew group algebras $\\Lambda G$, where $\\Lambda$ is a connected, basic, finite-dimensional algebra (or a locally finite graded algebra) over an algebraically closed field $k$ with characteristic $p \\geqslant 0$, and $G$ is an arbitrary finite group each element of which acts as an algebra automorphism on $\\Lambda$. We characterize skew group algebras with finite global dimension or finite representation type, and classify the representation types of transporter categories for $p \\neq 2,3$. When $\\Lambda$ is a locally finite graded algebra and the actio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0333","kind":"arxiv","version":3},"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":"1211.0333","created_at":"2026-05-18T02:54:05.326034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.0333v3","created_at":"2026-05-18T02:54:05.326034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0333","created_at":"2026-05-18T02:54:05.326034+00:00"},{"alias_kind":"pith_short_12","alias_value":"KXY4O6VRZE3H","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KXY4O6VRZE3H632P","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KXY4O6VR","created_at":"2026-05-18T12:27:11.947152+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/KXY4O6VRZE3H632PYPR7HA2RA6","json":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6.json","graph_json":"https://pith.science/api/pith-number/KXY4O6VRZE3H632PYPR7HA2RA6/graph.json","events_json":"https://pith.science/api/pith-number/KXY4O6VRZE3H632PYPR7HA2RA6/events.json","paper":"https://pith.science/paper/KXY4O6VR"},"agent_actions":{"view_html":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6","download_json":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6.json","view_paper":"https://pith.science/paper/KXY4O6VR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.0333&json=true","fetch_graph":"https://pith.science/api/pith-number/KXY4O6VRZE3H632PYPR7HA2RA6/graph.json","fetch_events":"https://pith.science/api/pith-number/KXY4O6VRZE3H632PYPR7HA2RA6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6/action/storage_attestation","attest_author":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6/action/author_attestation","sign_citation":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6/action/citation_signature","submit_replication":"https://pith.science/pith/KXY4O6VRZE3H632PYPR7HA2RA6/action/replication_record"}},"created_at":"2026-05-18T02:54:05.326034+00:00","updated_at":"2026-05-18T02:54:05.326034+00:00"}