{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:4N6JRJYN3O5MSREYPU2NXUJ6CU","short_pith_number":"pith:4N6JRJYN","schema_version":"1.0","canonical_sha256":"e37c98a70ddbbac944987d34dbd13e150e3659c1837c974e797b8a4176bd367c","source":{"kind":"arxiv","id":"1302.6225","version":2},"attestation_state":"computed","paper":{"title":"Representation theory of the Yokonuma-Hecke algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA"],"primary_cat":"math.RT","authors_text":"Lo\\\"ic Poulain d'Andecy, Maria Chlouveraki","submitted_at":"2013-02-25T20:50:50Z","abstract_excerpt":"We develop an inductive approach to the representation theory of the Yokonuma-Hecke algebra ${\\rm Y}_{d,n}(q)$, based on the study of the spectrum of its Jucys-Murphy elements which are defined here. We give explicit formulas for the irreducible representations of ${\\rm Y}_{d,n}(q)$ in terms of standard $d$-tableaux; we then use them to obtain a semisimplicity criterion. Finally, we prove the existence of a canonical symmetrising form on ${\\rm Y}_{d,n}(q)$ and calculate the Schur elements with respect to that form."},"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":"1302.6225","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-02-25T20:50:50Z","cross_cats_sorted":["math.GT","math.QA"],"title_canon_sha256":"7f66db1381ca29f766a73ddf6c7c63631ef9527f2915bbdf388a1adb4b31144e","abstract_canon_sha256":"5f4e931e0fa2351e6d3596c454c6b6198742caf4cd1b24552afcee59ae9ccc31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:57.159232Z","signature_b64":"5UgHe8pYQYCSV/VbqMJoyOhrh7+yMmrVYiOfHjt2sMQTWEzL4QulNCiYqwTSd22SMIznADCujSkN4e36hg1oAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e37c98a70ddbbac944987d34dbd13e150e3659c1837c974e797b8a4176bd367c","last_reissued_at":"2026-05-18T02:51:57.158729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:57.158729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representation theory of the Yokonuma-Hecke algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA"],"primary_cat":"math.RT","authors_text":"Lo\\\"ic Poulain d'Andecy, Maria Chlouveraki","submitted_at":"2013-02-25T20:50:50Z","abstract_excerpt":"We develop an inductive approach to the representation theory of the Yokonuma-Hecke algebra ${\\rm Y}_{d,n}(q)$, based on the study of the spectrum of its Jucys-Murphy elements which are defined here. We give explicit formulas for the irreducible representations of ${\\rm Y}_{d,n}(q)$ in terms of standard $d$-tableaux; we then use them to obtain a semisimplicity criterion. Finally, we prove the existence of a canonical symmetrising form on ${\\rm Y}_{d,n}(q)$ and calculate the Schur elements with respect to that form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6225","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":"1302.6225","created_at":"2026-05-18T02:51:57.158801+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.6225v2","created_at":"2026-05-18T02:51:57.158801+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6225","created_at":"2026-05-18T02:51:57.158801+00:00"},{"alias_kind":"pith_short_12","alias_value":"4N6JRJYN3O5M","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"4N6JRJYN3O5MSREY","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"4N6JRJYN","created_at":"2026-05-18T12:27:34.582898+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/4N6JRJYN3O5MSREYPU2NXUJ6CU","json":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU.json","graph_json":"https://pith.science/api/pith-number/4N6JRJYN3O5MSREYPU2NXUJ6CU/graph.json","events_json":"https://pith.science/api/pith-number/4N6JRJYN3O5MSREYPU2NXUJ6CU/events.json","paper":"https://pith.science/paper/4N6JRJYN"},"agent_actions":{"view_html":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU","download_json":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU.json","view_paper":"https://pith.science/paper/4N6JRJYN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.6225&json=true","fetch_graph":"https://pith.science/api/pith-number/4N6JRJYN3O5MSREYPU2NXUJ6CU/graph.json","fetch_events":"https://pith.science/api/pith-number/4N6JRJYN3O5MSREYPU2NXUJ6CU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU/action/storage_attestation","attest_author":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU/action/author_attestation","sign_citation":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU/action/citation_signature","submit_replication":"https://pith.science/pith/4N6JRJYN3O5MSREYPU2NXUJ6CU/action/replication_record"}},"created_at":"2026-05-18T02:51:57.158801+00:00","updated_at":"2026-05-18T02:51:57.158801+00:00"}