{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DAJZ3KIJESD57S7QIX6LYNTEBV","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":"bfa6c999950845afb3b6075dfccbf9619e3e3d30e8cdd2a3a5047b60459cbc92","cross_cats_sorted":["math.AG","math.CO","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-07T17:21:59Z","title_canon_sha256":"720a20290c647e0567d5c4b910a2d69b50b44299309d48dd266439a52ef16d3d"},"schema_version":"1.0","source":{"id":"1009.1347","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1347","created_at":"2026-05-18T04:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1347v1","created_at":"2026-05-18T04:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1347","created_at":"2026-05-18T04:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"DAJZ3KIJESD5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DAJZ3KIJESD57S7Q","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DAJZ3KIJ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:9e4ff3a503e74689e19b1c8ed9e2f1bb6ac808791ee7d12606b668938be74d86","target":"graph","created_at":"2026-05-18T04:08:45Z","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":"The aim of this paper is to study the representation theory of quantum Schubert cells. Let $\\g$ be a simple complex Lie algebra. To each element $w$ of the Weyl group $W$ of $\\g$, De Concini, Kac and Procesi have attached a subalgebra $U_q[w]$ of the quantised enveloping algebra $U_q(\\g)$. Recently, Yakimov showed that these algebras can be interpreted as the quantum Schubert cells on quantum flag manifolds. In this paper, we study the primitive ideals of $U_q[w]$. More precisely, it follows from the Stratification Theorem of Goodearl and Letzter that the primitive spectrum of $U_q[w]$ admits ","authors_text":"Jason Bell, Karel Casteels, St\\'ephane Launois","cross_cats":["math.AG","math.CO","math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-07T17:21:59Z","title":"Primitive ideals in quantum Schubert cells: dimension of the strata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1347","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:c76c669192278a98ed8e332db224f4e1d666631bf2a47413a3818e81933c6f19","target":"record","created_at":"2026-05-18T04:08:45Z","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":"bfa6c999950845afb3b6075dfccbf9619e3e3d30e8cdd2a3a5047b60459cbc92","cross_cats_sorted":["math.AG","math.CO","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-07T17:21:59Z","title_canon_sha256":"720a20290c647e0567d5c4b910a2d69b50b44299309d48dd266439a52ef16d3d"},"schema_version":"1.0","source":{"id":"1009.1347","kind":"arxiv","version":1}},"canonical_sha256":"18139da9092487dfcbf045fcbc36640d74c27a5e84eb9863a6df7507983449e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18139da9092487dfcbf045fcbc36640d74c27a5e84eb9863a6df7507983449e3","first_computed_at":"2026-05-18T04:08:45.416579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:45.416579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QLRoRuUNIQHOlS8ZW6MT9hw8simaHlkjg4LDOSrbwsorXKuK4SBqxW0I+c0dI0HCh41mrMaByhLen+6cYzkJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:45.417231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1347","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c76c669192278a98ed8e332db224f4e1d666631bf2a47413a3818e81933c6f19","sha256:9e4ff3a503e74689e19b1c8ed9e2f1bb6ac808791ee7d12606b668938be74d86"],"state_sha256":"b5369bce4d45d63a7349f147aaf16f12f7f35d49466b31551d5bc178e7ea6514"}