{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XGQP4YFOIPHLFORAJC3HS4ZLJH","short_pith_number":"pith:XGQP4YFO","schema_version":"1.0","canonical_sha256":"b9a0fe60ae43ceb2ba2048b679732b49caef1b19e035da7cb6c8e3433490dabc","source":{"kind":"arxiv","id":"1701.05746","version":3},"attestation_state":"computed","paper":{"title":"Glider representations of chains of semisimple Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frederik Caenepeel","submitted_at":"2017-01-20T10:18:41Z","abstract_excerpt":"We start the study of glider representations in the setting of semisimple Lie algebras. A glider representation is defined for some positively filtered ring $FR$ and here we consider the right bounded algebra filtration $FU(\\mathfrak{g})$ on the universal enveloping algebra $U(\\mathfrak{g})$ of some semisimple Lie algebra $\\mathfrak{g}$ given by a fixed chain of semisimple sub Lie algebras $\\mathfrak{g}_1 \\subset \\mathfrak{g}_2 \\subset \\ldots \\subset \\mathfrak{g}_n = \\mathfrak{g}$. Inspired by the classical representation theory, we introduce so-called Verma glider representations. Their exist"},"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":"1701.05746","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-01-20T10:18:41Z","cross_cats_sorted":[],"title_canon_sha256":"cdd118db804bea1c4cc6af802ac3a44f3fbc066f9b49b3ce5b1436f2965f17a7","abstract_canon_sha256":"42cff28c419ac051c2b87b3e1a03d3e69c38ef901550ee0259353cb19676f4ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:36.104571Z","signature_b64":"esT128ir+Zu0GZwk63Wb2fUXLvHh6AhV1E7U7y+hZ07zakFH725BTOD3ZkPGAOlG0gUOFigVhqkB4x7OXFKKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9a0fe60ae43ceb2ba2048b679732b49caef1b19e035da7cb6c8e3433490dabc","last_reissued_at":"2026-05-18T00:38:36.104140Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:36.104140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Glider representations of chains of semisimple Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frederik Caenepeel","submitted_at":"2017-01-20T10:18:41Z","abstract_excerpt":"We start the study of glider representations in the setting of semisimple Lie algebras. A glider representation is defined for some positively filtered ring $FR$ and here we consider the right bounded algebra filtration $FU(\\mathfrak{g})$ on the universal enveloping algebra $U(\\mathfrak{g})$ of some semisimple Lie algebra $\\mathfrak{g}$ given by a fixed chain of semisimple sub Lie algebras $\\mathfrak{g}_1 \\subset \\mathfrak{g}_2 \\subset \\ldots \\subset \\mathfrak{g}_n = \\mathfrak{g}$. Inspired by the classical representation theory, we introduce so-called Verma glider representations. Their exist"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05746","kind":"arxiv","version":3},"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":"1701.05746","created_at":"2026-05-18T00:38:36.104197+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.05746v3","created_at":"2026-05-18T00:38:36.104197+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05746","created_at":"2026-05-18T00:38:36.104197+00:00"},{"alias_kind":"pith_short_12","alias_value":"XGQP4YFOIPHL","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XGQP4YFOIPHLFORA","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XGQP4YFO","created_at":"2026-05-18T12:31:53.515858+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/XGQP4YFOIPHLFORAJC3HS4ZLJH","json":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH.json","graph_json":"https://pith.science/api/pith-number/XGQP4YFOIPHLFORAJC3HS4ZLJH/graph.json","events_json":"https://pith.science/api/pith-number/XGQP4YFOIPHLFORAJC3HS4ZLJH/events.json","paper":"https://pith.science/paper/XGQP4YFO"},"agent_actions":{"view_html":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH","download_json":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH.json","view_paper":"https://pith.science/paper/XGQP4YFO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.05746&json=true","fetch_graph":"https://pith.science/api/pith-number/XGQP4YFOIPHLFORAJC3HS4ZLJH/graph.json","fetch_events":"https://pith.science/api/pith-number/XGQP4YFOIPHLFORAJC3HS4ZLJH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH/action/storage_attestation","attest_author":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH/action/author_attestation","sign_citation":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH/action/citation_signature","submit_replication":"https://pith.science/pith/XGQP4YFOIPHLFORAJC3HS4ZLJH/action/replication_record"}},"created_at":"2026-05-18T00:38:36.104197+00:00","updated_at":"2026-05-18T00:38:36.104197+00:00"}