{"paper":{"title":"Geometric cycles in compact locally Hermitian symmetric spaces and automorphic representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Arghya Mondal, Parameswaran Sankaran","submitted_at":"2017-03-09T10:08:41Z","abstract_excerpt":"Let $G$ be a linear connected non-compact real simple Lie group and let $K\\subset G$ be a maximal compact subgroup of $G$. Suppose that the centre of $K$ isomorphic to $\\mathbb{S}^1$ so that $G/K$ is a global Hermitian symmetric space. Let $\\theta$ be the Cartan involution of $G$ that fixes $K$. Let $\\Lambda$ be a uniform lattice in $G$ such that $\\theta(\\Lambda)=\\Lambda.$ Suppose that $G$ is one of the groups $SU(p,q), p<q-1, q\\ge 5, SO_0(2,q)$, $Sp(n,\\mathbb{R}), n\\ne 4, SO^*(2n), n\\ge 9.$ Then there exists a unique irreducible unitary representation $\\mathcal{A}_\\mathfrak{q}$ associated to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03206","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"}