{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:2XJCU2JVAXRIEPMM5HOCV2XWS3","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":"73cd46f2ee1c1b621db5e604ca55fc7a6f8cd90d85fb2cbdd012b65f529f12c7","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1995-06-22T17:12:46Z","title_canon_sha256":"dc835789ef6ea97891b40a517d6724507cf271c296fe8126db60c29b09df7493"},"schema_version":"1.0","source":{"id":"q-alg/9506017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9506017","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9506017v2","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9506017","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"2XJCU2JVAXRI","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2XJCU2JVAXRIEPMM","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2XJCU2JV","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:44db2bbdd30dbf5033dc2c3795183f9479189790485b8fd9149338ed2ec418d3","target":"graph","created_at":"2026-05-18T01:05:07Z","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":"As a natural generalization of ordinary Lie algebras we introduce the concept of quantum Lie algebras ${\\cal L}_q(g)$. We define these in terms of certain adjoint submodules of quantized enveloping algebras $U_q(g)$ endowed with a quantum Lie bracket given by the quantum adjoint action. The structure constants of these algebras depend on the quantum deformation parameter $q$ and they go over into the usual Lie algebras when $q=1$.\n The notions of q-conjugation and q-linearity are introduced. q-linear analogues of the classical antipode and Cartan involution are defined and a generalised Killin","authors_text":"Andreas Hueffmann (Dept. Of Mathematics, Gustav W. Delius, King's College, London)","cross_cats":["hep-th","math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1995-06-22T17:12:46Z","title":"On Quantum Lie Algebras and Quantum Root Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9506017","kind":"arxiv","version":2},"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:ab8139ffeb53528d0a64729f481889d7134f3ed4c823ce5d1d7e7ccac520e350","target":"record","created_at":"2026-05-18T01:05:07Z","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":"73cd46f2ee1c1b621db5e604ca55fc7a6f8cd90d85fb2cbdd012b65f529f12c7","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1995-06-22T17:12:46Z","title_canon_sha256":"dc835789ef6ea97891b40a517d6724507cf271c296fe8126db60c29b09df7493"},"schema_version":"1.0","source":{"id":"q-alg/9506017","kind":"arxiv","version":2}},"canonical_sha256":"d5d22a693505e2823d8ce9dc2aeaf696d6078db598462ae5047b608097b1dfe5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5d22a693505e2823d8ce9dc2aeaf696d6078db598462ae5047b608097b1dfe5","first_computed_at":"2026-05-18T01:05:07.621370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:07.621370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6kcWmDsBfxdnpMxqcNNkQJiIkqbE8t9KB0maABm2AuZiKJc1xCLjQ9dNdUP8Q9scsJLnFBQy09iQwdutWUH/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:07.622111Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9506017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab8139ffeb53528d0a64729f481889d7134f3ed4c823ce5d1d7e7ccac520e350","sha256:44db2bbdd30dbf5033dc2c3795183f9479189790485b8fd9149338ed2ec418d3"],"state_sha256":"95f38be8df39d40d00c09c5e2041b1f2b5446383bef56f7a311e83033e3be18f"}