{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:AFDAZ66XRM4EGCBFOUMZ2Z4JZW","short_pith_number":"pith:AFDAZ66X","schema_version":"1.0","canonical_sha256":"01460cfbd78b3843082575199d6789cdb9794c85f76640505e9b796683c47b5c","source":{"kind":"arxiv","id":"1210.0237","version":1},"attestation_state":"computed","paper":{"title":"Induced conjugacy classes and induced U_e(G)-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Giovanna Carnovale","submitted_at":"2012-09-30T20:18:36Z","abstract_excerpt":"By work of De Concini, Kac and Procesi the irreducible representations of the non-restricted specialization of the quantized enveloping algebra of the Lie algebra g at the roots of unity are parametrized by the conjugacy classes of a group G with Lie(G)=g. We show that there is a natural dimension preserving bijection between the sets of irreducible representations associated with conjugacy classes lying in the same Jordan class (decomposition class). We conjecture a relation for representations associated with classes lying in the same sheet of G, providing two alternative formulations. We un"},"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":"1210.0237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-09-30T20:18:36Z","cross_cats_sorted":[],"title_canon_sha256":"6343ca2fa5067c517f11313774ebc661b4977f787fae56314a804f240f1309db","abstract_canon_sha256":"b4509d0d9ec303870c69546c5175ee2ad1d6257298111796df1204830dc8e00b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:22.945410Z","signature_b64":"nagN/VvpYYyeKHBjji8FT8AiECOSmoxItOdlfqHpkvciUtnLOCipKo/US0XmNDhFCzQHruPWyYMBN7aoZx7HAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01460cfbd78b3843082575199d6789cdb9794c85f76640505e9b796683c47b5c","last_reissued_at":"2026-05-18T03:44:22.944830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:22.944830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Induced conjugacy classes and induced U_e(G)-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Giovanna Carnovale","submitted_at":"2012-09-30T20:18:36Z","abstract_excerpt":"By work of De Concini, Kac and Procesi the irreducible representations of the non-restricted specialization of the quantized enveloping algebra of the Lie algebra g at the roots of unity are parametrized by the conjugacy classes of a group G with Lie(G)=g. We show that there is a natural dimension preserving bijection between the sets of irreducible representations associated with conjugacy classes lying in the same Jordan class (decomposition class). We conjecture a relation for representations associated with classes lying in the same sheet of G, providing two alternative formulations. We un"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0237","kind":"arxiv","version":1},"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":"1210.0237","created_at":"2026-05-18T03:44:22.944930+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.0237v1","created_at":"2026-05-18T03:44:22.944930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0237","created_at":"2026-05-18T03:44:22.944930+00:00"},{"alias_kind":"pith_short_12","alias_value":"AFDAZ66XRM4E","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"AFDAZ66XRM4EGCBF","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"AFDAZ66X","created_at":"2026-05-18T12:26:58.693483+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/AFDAZ66XRM4EGCBFOUMZ2Z4JZW","json":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW.json","graph_json":"https://pith.science/api/pith-number/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/graph.json","events_json":"https://pith.science/api/pith-number/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/events.json","paper":"https://pith.science/paper/AFDAZ66X"},"agent_actions":{"view_html":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW","download_json":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW.json","view_paper":"https://pith.science/paper/AFDAZ66X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.0237&json=true","fetch_graph":"https://pith.science/api/pith-number/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/graph.json","fetch_events":"https://pith.science/api/pith-number/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/action/storage_attestation","attest_author":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/action/author_attestation","sign_citation":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/action/citation_signature","submit_replication":"https://pith.science/pith/AFDAZ66XRM4EGCBFOUMZ2Z4JZW/action/replication_record"}},"created_at":"2026-05-18T03:44:22.944930+00:00","updated_at":"2026-05-18T03:44:22.944930+00:00"}