{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:M3BC5G74G46HKLFKUJDVMTPNFL","short_pith_number":"pith:M3BC5G74","schema_version":"1.0","canonical_sha256":"66c22e9bfc373c752caaa247564ded2af69cd6219daf3f01fbabf99589157175","source":{"kind":"arxiv","id":"1011.1396","version":2},"attestation_state":"computed","paper":{"title":"Irreducible Highest Weight Representations Of The Simple n-Lie Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Dana Balibanu, Johan van de Leur","submitted_at":"2010-11-05T13:47:10Z","abstract_excerpt":"A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the infinite-dimensional ones. As a corollary we find all primitive ideals of the universal enveloping algebra of this simple n-Lie algebra."},"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":"1011.1396","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-11-05T13:47:10Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"302ee5fbc7c790e4f1b6586c1d08be3f974b5539234986eb919543553393a7be","abstract_canon_sha256":"c5d000dfec9981805587ca64ffa72e336190f835caf8c792b1f438b578c2d30d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:37.213179Z","signature_b64":"cBFFUK5gONNmlfk9vMZwG0ydfBTCIYjVFXF3lS9JkqKHhR8YgtT6tjAtsKnqgst2wWr3lsqze+cYT/RG4dFHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66c22e9bfc373c752caaa247564ded2af69cd6219daf3f01fbabf99589157175","last_reissued_at":"2026-05-18T01:24:37.212765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:37.212765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Irreducible Highest Weight Representations Of The Simple n-Lie Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Dana Balibanu, Johan van de Leur","submitted_at":"2010-11-05T13:47:10Z","abstract_excerpt":"A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the infinite-dimensional ones. As a corollary we find all primitive ideals of the universal enveloping algebra of this simple n-Lie algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1396","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":"1011.1396","created_at":"2026-05-18T01:24:37.212828+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.1396v2","created_at":"2026-05-18T01:24:37.212828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1396","created_at":"2026-05-18T01:24:37.212828+00:00"},{"alias_kind":"pith_short_12","alias_value":"M3BC5G74G46H","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"M3BC5G74G46HKLFK","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"M3BC5G74","created_at":"2026-05-18T12:26:10.704358+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/M3BC5G74G46HKLFKUJDVMTPNFL","json":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL.json","graph_json":"https://pith.science/api/pith-number/M3BC5G74G46HKLFKUJDVMTPNFL/graph.json","events_json":"https://pith.science/api/pith-number/M3BC5G74G46HKLFKUJDVMTPNFL/events.json","paper":"https://pith.science/paper/M3BC5G74"},"agent_actions":{"view_html":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL","download_json":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL.json","view_paper":"https://pith.science/paper/M3BC5G74","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.1396&json=true","fetch_graph":"https://pith.science/api/pith-number/M3BC5G74G46HKLFKUJDVMTPNFL/graph.json","fetch_events":"https://pith.science/api/pith-number/M3BC5G74G46HKLFKUJDVMTPNFL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL/action/storage_attestation","attest_author":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL/action/author_attestation","sign_citation":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL/action/citation_signature","submit_replication":"https://pith.science/pith/M3BC5G74G46HKLFKUJDVMTPNFL/action/replication_record"}},"created_at":"2026-05-18T01:24:37.212828+00:00","updated_at":"2026-05-18T01:24:37.212828+00:00"}