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Let $U(\\mathfrak{g})$ be the universal enveloping algebra of $\\mathfrak{g}$, and let $C(\\mathfrak{p})$ be the Clifford algebra with respect to the trace form $B(X,Y)=\\text{tr}(XY)$ on $\\mathfrak{p}$. We are going to prove that the algebra of K-invariants in $U(\\mathfrak{g}) \\otimes C(\\mathfrak{p})$ is generated by five explicitly given eleme"},"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":"1412.8035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-12-27T11:23:14Z","cross_cats_sorted":[],"title_canon_sha256":"34076de6c2a8eef3bdb494d32ac9addbd5d9bc6220a2c49ad31564a19190e692","abstract_canon_sha256":"f75081c323a72254e68dc6b318b17bccf832e94330dcc03710c6e2ee16dc819e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:35.387598Z","signature_b64":"QvZD6lR+pkAyQD8wT0wUz7+tO3u4XUCgcY9iO5+Ubd2NBNVrU0P5NwPjeGqHw5EE8VlJqgXyhYGPsc6RY1bEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26e75daa9b7edd4d29f23b01b659149f73507ea3f70af8a43796e6c27bb18120","last_reissued_at":"2026-05-18T01:11:35.387208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:35.387208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K-invariants in the algebra U(g) $\\otimes$ C(p) for the group SU(2,1)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ana Prli\\'c","submitted_at":"2014-12-27T11:23:14Z","abstract_excerpt":"Let $\\mathfrak{g} = \\mathfrak{k} \\oplus \\mathfrak{p}$ be the Cartan decomposition of the complexified Lie algebra $\\mathfrak{g}=\\mathfrak{sl}(3,\\mathbb{C})$ of the group $G=SU(2,1)$. Let $K=S(U(2) \\times U(1))$; so $K$ is a maximal compact subgroup of $G$. Let $U(\\mathfrak{g})$ be the universal enveloping algebra of $\\mathfrak{g}$, and let $C(\\mathfrak{p})$ be the Clifford algebra with respect to the trace form $B(X,Y)=\\text{tr}(XY)$ on $\\mathfrak{p}$. We are going to prove that the algebra of K-invariants in $U(\\mathfrak{g}) \\otimes C(\\mathfrak{p})$ is generated by five explicitly given eleme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8035","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":"1412.8035","created_at":"2026-05-18T01:11:35.387266+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.8035v1","created_at":"2026-05-18T01:11:35.387266+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8035","created_at":"2026-05-18T01:11:35.387266+00:00"},{"alias_kind":"pith_short_12","alias_value":"E3TV3KU3P3OU","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"E3TV3KU3P3OU2KPS","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"E3TV3KU3","created_at":"2026-05-18T12:28:25.294606+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/E3TV3KU3P3OU2KPSHMA3MWIUT5","json":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5.json","graph_json":"https://pith.science/api/pith-number/E3TV3KU3P3OU2KPSHMA3MWIUT5/graph.json","events_json":"https://pith.science/api/pith-number/E3TV3KU3P3OU2KPSHMA3MWIUT5/events.json","paper":"https://pith.science/paper/E3TV3KU3"},"agent_actions":{"view_html":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5","download_json":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5.json","view_paper":"https://pith.science/paper/E3TV3KU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.8035&json=true","fetch_graph":"https://pith.science/api/pith-number/E3TV3KU3P3OU2KPSHMA3MWIUT5/graph.json","fetch_events":"https://pith.science/api/pith-number/E3TV3KU3P3OU2KPSHMA3MWIUT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5/action/storage_attestation","attest_author":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5/action/author_attestation","sign_citation":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5/action/citation_signature","submit_replication":"https://pith.science/pith/E3TV3KU3P3OU2KPSHMA3MWIUT5/action/replication_record"}},"created_at":"2026-05-18T01:11:35.387266+00:00","updated_at":"2026-05-18T01:11:35.387266+00:00"}