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As a consequence, the irreducible characters of these $\\mathfrak{q}(n)$-modules in this maximal parabolic category are given by the Kazhdan-Lusztig polynomials of type $A$ Lie algebras. As an application, closed character formulas for a class of $\\mathfrak{q}(n)$-modules resembling polynomial and Kostant modules of the g"},"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":"1602.04311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-13T10:25:21Z","cross_cats_sorted":[],"title_canon_sha256":"d3d3374948a45849a5604d0d617b81618a7436aaab2c833fb3d7a56c0eef1773","abstract_canon_sha256":"0bceb01db22b62ae95eb06d5a1d3286d4c370fad5a68c5a3bf0a4d08c6f6a9c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:51.271661Z","signature_b64":"MtBBuF3LsAn8KCVOM25ec54r9tl6BncCdBf2TLdNUxLCreRaeyRJv4NDUFsW2hWNAaalkD1Z4VKNkV60N3JUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"620c2bd8bdfbf17502c774a5f295217bd445968b6cf00561c11d27fbc4ac948f","last_reissued_at":"2026-05-18T01:20:51.271052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:51.271052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum group of type $A$ and representations of queer Lie superalgebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Chih-Whi Chen, Shun-Jen Cheng","submitted_at":"2016-02-13T10:25:21Z","abstract_excerpt":"We establish a maximal parabolic version of the Kazhdan-Lusztig conjecture \\cite[Conjecture 5.10]{CKW} for the BGG category $\\mathcal{O}_{k,\\zeta}$ of $\\mathfrak{q}(n)$-modules of \"$\\pm \\zeta$-weights\", where $k\\leq n$ and $\\zeta\\in\\mathbb{C} \\setminus \\frac{1}{2} \\mathbb{Z}$. As a consequence, the irreducible characters of these $\\mathfrak{q}(n)$-modules in this maximal parabolic category are given by the Kazhdan-Lusztig polynomials of type $A$ Lie algebras. As an application, closed character formulas for a class of $\\mathfrak{q}(n)$-modules resembling polynomial and Kostant modules of the g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04311","kind":"arxiv","version":1},"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":"1602.04311","created_at":"2026-05-18T01:20:51.271157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.04311v1","created_at":"2026-05-18T01:20:51.271157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04311","created_at":"2026-05-18T01:20:51.271157+00:00"},{"alias_kind":"pith_short_12","alias_value":"MIGCXWF57PYX","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MIGCXWF57PYXKAWH","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MIGCXWF5","created_at":"2026-05-18T12:30:32.724797+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/MIGCXWF57PYXKAWHOSS7FFJBPP","json":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP.json","graph_json":"https://pith.science/api/pith-number/MIGCXWF57PYXKAWHOSS7FFJBPP/graph.json","events_json":"https://pith.science/api/pith-number/MIGCXWF57PYXKAWHOSS7FFJBPP/events.json","paper":"https://pith.science/paper/MIGCXWF5"},"agent_actions":{"view_html":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP","download_json":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP.json","view_paper":"https://pith.science/paper/MIGCXWF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.04311&json=true","fetch_graph":"https://pith.science/api/pith-number/MIGCXWF57PYXKAWHOSS7FFJBPP/graph.json","fetch_events":"https://pith.science/api/pith-number/MIGCXWF57PYXKAWHOSS7FFJBPP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP/action/storage_attestation","attest_author":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP/action/author_attestation","sign_citation":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP/action/citation_signature","submit_replication":"https://pith.science/pith/MIGCXWF57PYXKAWHOSS7FFJBPP/action/replication_record"}},"created_at":"2026-05-18T01:20:51.271157+00:00","updated_at":"2026-05-18T01:20:51.271157+00:00"}