{"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"}