{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KKKQP5NXNNNFVFUA5LA2LBG5BV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"16d449444335c22e62f3a3ad303664a7633e6c161ded8e7139def9fa51b7f2d1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-05-18T13:15:33Z","title_canon_sha256":"364dc219813ed1c4c7923b76b85691f2b87f7f76b90a0a6c4b424831e6ccdd83"},"schema_version":"1.0","source":{"id":"1805.07191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07191","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07191v1","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07191","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"KKKQP5NXNNNF","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KKKQP5NXNNNFVFUA","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KKKQP5NX","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:ba6b74763bc0096ff427d7022fa6b6258923dcc60ed13e6ac652e768425d955a","target":"graph","created_at":"2026-05-18T00:15:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Given any pair of positive integers m and n, we construct a new Hopf algebra, which may be regarded as a degenerate version of the quantum group of gl(m+n). We study its structure and develop a highest weight representation theory. The finite dimensional simple modules are classified in terms of highest weights, which are essentially characterised by m+n-2 nonnegative integers and two arbitrary nonzero scalars. In the special case with m=2 and n=1, an explicit basis is constructed for each finite dimensional simple module. For all m and n, the degenerate quantum group has a natural irreducible","authors_text":"Jin Cheng, Ruibin Zhang, Yan Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-05-18T13:15:33Z","title":"Degenerate quantum general linear groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07191","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9db5c13c1cd4a5dd6987da12ca788206a8895d6b56d30250f32ea80bb0d89916","target":"record","created_at":"2026-05-18T00:15:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"16d449444335c22e62f3a3ad303664a7633e6c161ded8e7139def9fa51b7f2d1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-05-18T13:15:33Z","title_canon_sha256":"364dc219813ed1c4c7923b76b85691f2b87f7f76b90a0a6c4b424831e6ccdd83"},"schema_version":"1.0","source":{"id":"1805.07191","kind":"arxiv","version":1}},"canonical_sha256":"529507f5b76b5a5a9680eac1a584dd0d7a27f301d600834370a9d2efa7add337","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"529507f5b76b5a5a9680eac1a584dd0d7a27f301d600834370a9d2efa7add337","first_computed_at":"2026-05-18T00:15:38.986862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:38.986862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PTdzHGgGMvm1Ng1xHaOOH/aqkFDvNzkURmOJLiN35zdY9aTWa5GsqGqU8jqcESV5Dg7x4MP2Gkx22AUpx+n+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:38.987451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9db5c13c1cd4a5dd6987da12ca788206a8895d6b56d30250f32ea80bb0d89916","sha256:ba6b74763bc0096ff427d7022fa6b6258923dcc60ed13e6ac652e768425d955a"],"state_sha256":"2b4e76d54fa2cda1133707a7a8512cadad8fa2e2d574c3d16a8e4be91626b55e"}