{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:D67KFG5HLYKNPEG3B4FCYZNRKV","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":"7f13635dc6bebb3bdf4f37b7e373e7fc494f38c15d74f02bf098a3adca1a9819","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-12-11T09:58:28Z","title_canon_sha256":"577508baf4e3dfd9ccbe65b18799ed0b2f153b1f8d43ea298ca7b30fce5b7d4b"},"schema_version":"1.0","source":{"id":"1712.03700","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03700","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03700v2","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03700","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"D67KFG5HLYKN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D67KFG5HLYKNPEG3","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D67KFG5H","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:84b7f90489d3fdf0ff6eec6e15d76b1b517957f932ee18968033217f7485077b","target":"graph","created_at":"2026-05-17T23:59:53Z","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":"In the present paper we describe a new class of Gelfand--Tsetlin modules for an arbitrary complex simple finite-dimensional Lie algebra g and give their geometric realization as the space of delta-functions\" on the flag manifold G/B supported at the 1-dimensional submanifold. When g=sl(n) (or gl(n)) these modules form a subclass of Gelfand-Tsetlin modules with infinite dimensional weight subspaces. We discuss their properties and describe the simplicity criterion for these modules in the case of the Lie algebra sl(3,C).","authors_text":"Libor Krizka, Vyacheslav Futorny","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-12-11T09:58:28Z","title":"Geometric construction of Gelfand--Tsetlin modules over simple Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03700","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":"sha256:98d4a218d39b066decc240d329d1f45fc35818e218f500a0caebbd0ac09acffa","target":"record","created_at":"2026-05-17T23:59:53Z","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":"7f13635dc6bebb3bdf4f37b7e373e7fc494f38c15d74f02bf098a3adca1a9819","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-12-11T09:58:28Z","title_canon_sha256":"577508baf4e3dfd9ccbe65b18799ed0b2f153b1f8d43ea298ca7b30fce5b7d4b"},"schema_version":"1.0","source":{"id":"1712.03700","kind":"arxiv","version":2}},"canonical_sha256":"1fbea29ba75e14d790db0f0a2c65b15552e9e0a5741cd290be0af769a466812b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fbea29ba75e14d790db0f0a2c65b15552e9e0a5741cd290be0af769a466812b","first_computed_at":"2026-05-17T23:59:53.427274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:53.427274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GIYcoAQcrOHNVmlYwKLkerew9q73twwh85RUXnxcrUHSPi3hTLCf02Ry1lsOiRTNycrQl+lRZ+kC+KCFwC1jAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:53.427783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03700","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d4a218d39b066decc240d329d1f45fc35818e218f500a0caebbd0ac09acffa","sha256:84b7f90489d3fdf0ff6eec6e15d76b1b517957f932ee18968033217f7485077b"],"state_sha256":"d331340a60c18199374f8960ab85033f2775524a4d671ed9c55e510e6221a2d8"}